Chern–Simons–Rozansky–Witten topological field theory (2009)
Kapustin, Anton, Saulina, Natalia
We construct and study a new topological field theory in three dimensions. It is a hybrid between Chern–Simons and Rozansky–Witten theory and can be regarded as a topologically-twisted version of...
Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter (2009)
Kapustin, Anton, Willett, Brian, Yaakov, Itamar
We use localization techniques to compute the expectation values of supersymmetric Wilson loops in Chern-Simons theories with matter. We find the path-integral reduces to a non-Gaussian matrix model....
Three-dimensional topological field theory and symplectic algebraic geometry II (2009)
Kapustin, Anton, Rozansky, Lev
Motivated by the path integral analysis of boundary conditions in a 3-dimensional topological sigma-model, we suggest a definition of the 2-category associated with a holomorphic symplectic manifold...
Three-dimensional topological field theory and symplectic algebraic geometry I (2009)
Kapustin, Anton, Rozansky, Lev, Saulina, Natalia
We study boundary conditions and defects in a three-dimensional topological sigma-model with a complex symplectic target space X (the Rozansky–Witten model). We show that boundary conditions...
The algebra of Wilson-'t Hooft operators (2009)
Kapustin, Anton, Saulina, Natalia
We study the Operator Product Expansion of Wilson–'t Hooft operators in a twisted N=4 super-Yang–Mills theory with gauge group G. The Montonen–Olive duality puts strong constraints on the OPE...
The algebra of Wilson–'t Hooft operators (2009)
Kapustin, Anton, Saulina, Natalia
We study the Operator Product Expansion of Wilson–'t Hooft operators in a twisted super-Yang–Mills theory with gauge group G. The Montonen–Olive duality puts strong constraints on the OPE and...
Chern-Simons-Rozansky-Witten topological field theory (2009)
Kapustin, Anton, Saulina, Natalia
We construct and study a new topological field theory in three dimensions. It is a hybrid between Chern-Simons and Rozansky-Witten theory and can be regarded as a topologically-twisted version of the...
Abelian duality, walls and boundary conditions in diverse dimensions (2009)
Kapustin, Anton, Tikhonov, Mikhail
We systematically apply the formalism of duality walls to study the action of duality transformations on boundary conditions and local and nonlocal operators in two, three, and four-dimensional free...
Montonen-Olive duality implies that the categories of A-branes on the moduli spaces of Higgs bundles on a Riemann surface C for a pair of Langlands-dual groups are equivalent. We reformulate this as...
Three-dimensional topological field theory and symplectic algebraic geometry I (2008)
Kapustin, Anton, Rozansky, Lev, Saulina, Natalia
We study boundary conditions and defects in a three-dimensional topological sigma-model with a complex symplectic target space X (the Rozansky-Witten model). We show that boundary conditions...
The general (2, 2) gauged sigma model with three-form flux (2007)
Kapustin, Anton, Tomasiello, Alessandro
We find the conditions under which a Riemannian manifold equipped with a closed three-form and a vector field define an on-shell Script N = (2, 2) supersymmetric gauged sigma model. The conditions...
The algebra of Wilson-'t Hooft operators (2007)
Kapustin, Anton, Saulina, Natalia
We study the Operator Product Expansion of Wilson-'t Hooft operators in a twisted N=4 super-Yang-Mills theory with gauge group G. The Montonen-Olive duality puts strong constraints on the OPE and in...
Holomorphic reduction of N=2 gauge theories, Wilson-'t Hooft operators, and S-duality (2006)
We study twisted N=2 superconformal gauge theory on a product of two Riemann surfaces Sigma and C. The twisted theory is topological along C and holomorphic along Sigma and does not depend on the...
The general (2,2) gauged sigma model with three--form flux (2006)
Kapustin, Anton, Tomasiello, Alessandro
We find the conditions under which a Riemannian manifold equipped with a closed three-form and a vector field define an on--shell N=(2,2) supersymmetric gauged sigma model. The conditions are that...
Wilson-'t Hooft operators in four-dimensional gauge theories and S-duality (2006)
We study operators in four-dimensional gauge theories which are localized on a straight line, create electric and magnetic flux, and in the UV limit break the conformal invariance in the minimal...
On S-duality for non-simply-laced gauge groups (2006)
Argyres, Philip C., Kapustin, Anton, Seiberg, Nathan
We point out that for Script N = 4 gauge theories with exceptional gauge groups G2 and F4 the S-duality transformation acts on the moduli space by a nontrivial involution. We note that the duality...
Electric-Magnetic Duality And The Geometric Langlands Program (2006)
Kapustin, Anton, Witten, Edward
The geometric Langlands program can be described in a natural way by compactifying on a Riemann surface C a twisted version of N=4 super Yang-Mills theory in four dimensions. The key ingredients are...
On S-duality for Non-Simply-Laced Gauge Groups (2006)
Argyres, Philip C., Kapustin, Anton, Seiberg, Nathan
We point out that for N=4 gauge theories with exceptional gauge groups G_2 and F_4 the S-duality transformation acts on the moduli space by a nontrivial involution. We note that the duality groups of...
Open-string BRST cohomology for generalized complex branes (2005)
It has been shown recently that the geometry of D-branes in general topologically twisted $(2,2)$ sigma-models can be described in the language of generalized complex (GC) structures. On general...
Open-string BRST cohomology for generalized complex branes (2005)
It has been shown recently that the geometry of D-branes in general topologically twisted (2,2) sigma-models can be described in the language of generalized complex (GC) structures. On general...
Chiral de Rham complex and the half-twisted sigma-model (2005)
On any Calabi-Yau manifold X one can define a certain sheaf of chiral N=2 superconformal field theories, known as the chiral de Rham complex of X. It depends only on the complex structure of X, and...
A-branes and Noncommutative Geometry (2005)
We argue that for a certain class of symplectic manifolds the category of A-branes (which includes the Fukaya category as a full subcategory) is equivalent to a noncommutative deformation of the...
Open String BRST Cohomology for Generalized Complex Branes (2005)
It has been shown recently that the geometry of D-branes in general topologically twisted (2,2) sigma-models can be described in the language of generalized complex structures. On general grounds...
Wilson-'t Hooft operators in four-dimensional gauge theories and S-duality (2005)
We study operators in four-dimensional gauge theories which are localized on a straight line, create electric and magnetic flux, and in the UV limit break the conformal invariance in the minimal...
A remark on worldsheet fermions and double-scaled matrix models (2004)
We provide a heuristic explanation for the emergence of worldsheet fermions in the continuum limit of some matrix models. We also argue that turning on Ramond-Ramond flux confines the fermionic...
Gauge theory, topological strings, and S-duality (2004)
We offer a derivation of the duality between the topological U(1) gauge theory on a Calabi-Yau 3-fold and the topological A-model on the same manifold. This duality was conjectured recently by Iqbal,...
Topological sigma-models with H-flux and twisted generalized complex manifolds (2004)
We study the topological sector of N=2 sigma-models with H-flux. It has been known for a long time that the target-space geometry of these theories is not Kahler and can be described in terms of a...
D-branes in topological minimal models: the Landau-Ginzburg approach (2004)
We study D-branes in topologically twisted N = 2 minimal models using the Landau-Ginzburg realization. In the cases of A and D-type minimal models we provide what we believe is an exhaustive list of...
Noncritical superstrings in a Ramond-Ramond background (2004)
We use the recently found matrix description of noncritical superstring theory of type-0A to compute tachyon scattering amplitudes in a background with a RR flux. We find that after the string...
Two-dimensional unoriented strings and matrix models (2004)
We investigate unoriented strings and superstrings in two dimensions and their dual matrix quantum mechanics. Most of the models we study have a tachyon tadpole coming from the RP2 worldsheet which...
Fatgraph expansion for noncritical superstrings (2004)
Kapustin, Anton, Murugan, Arvind
We study the fatgraph expansion for the Complex Matrix Quantum Mechanics (CMQM) with a Chern-Simons coupling. In the double-scaling limit this model is believed to describe Type 0A superstrings in...
Gauge theory, topological strings, and S-duality (2004)
We offer a derivation of the duality between the topological U(1) gauge theory on a Calabi-Yau 3-fold and the topological A-model on the same manifold. This duality was conjectured recently by Iqbal,...
D-branes in Landau-Ginzburg models and algebraic geometry (2003)
We study topological D-branes of type B in N = 2 Landau-Ginzburg models, focusing on the case where all vacua have a mass gap. In general, tree-level topological string theory in the presence of...
Stability Conditions For Topological D-branes: A Worldsheet Approach (2003)
We study conditions on the topological D-branes of types A and B obtained by requiring a proper matching of the spectral flow operators on the boundary. These conditions ensure space-time...
Two-Dimensional Unoriented Strings And Matrix Models (2003)
We investigate unoriented strings and superstrings in two dimensions and their dual matrix quantum mechanics. Most of the models we study have a tachyon tadpole coming from the RP^2 worldsheet which...
Topological strings on noncommutative manifolds (2003)
We identify a deformation of the N=2 supersymmetric sigma model on a Calabi-Yau manifold X which has the same effect on B-branes as a noncommutative deformation of X. We show that for hyperkahler X...
Noncritical Superstrings in a Ramond-Ramond Background (2003)
We use the recently found matrix description of noncritical superstring theory of Type 0A to compute tachyon scattering amplitudes in a background with a RR flux. We find that after the string...
Lectures on Mirror Symmetry, Derived Categories, and D-branes (2003)
Kapustin, Anton, Orlov, Dmitri
This paper is an introduction to Homological Mirror Symmetry, derived categories, and topological D-branes aimed mainly at a mathematical audience. In the paper we explain the physicists' viewpoint...
Topological Correlators in Landau-Ginzburg Models with Boundaries (2003)
We compute topological correlators in Landau-Ginzburg models on a Riemann surface with arbitrary number of handles and boundaries. The boundaries may correspond to arbitrary topological D-branes of...
Topological Correlators in Landau-Ginzburg Models with Boundaries (2003)
We compute topological correlators in Landau-Ginzburg models on a Riemann surface with arbitrary number of handles and boundaries. The boundaries may correspond to arbitrary topological D-branes of...
D-branes in Topological Minimal Models: the Landau-Ginzburg Approach (2003)
We study D-branes in topologically twisted N=2 minimal models using the Landau-Ginzburg realization. In the cases of A and D-type minimal models we provide what we believe is an exhaustive list of...
Topological Correlators in Landau-Ginzburg Models with Boundaries (2003)
We compute topological correlators in Landau-Ginzburg models on a Riemann surface with arbitrary number of handles and boundaries. The boundaries may correspond to arbitrary topological D-branes of...
Monopole operators and mirror symmetry in three dimensions (2002)
Borokhov, Vadim, Kapustin, Anton, Wu, Xinkai
We study vortex-creating, or monopole, operators in 3d CFTs which are the infrared limit of N = 2 and N = 4 supersymmetric QEDs in three dimensions. Using large-N-f expansion, we construct monopole...
Worldsheet descriptions of wrapped NS five-branes (2002)
Hori, Kentaro, Kapustin, Anton
We provide a world-sheet description of Neveu-Schwarz five-branes wrapped on a complex projective space. It is an orbifold of the product of an Script N = 2 minimal model and the IR fixed point of a...
Topological disorder operators in three-dimensional conformal field theory (2002)
Borokhov, Vadim, Kapustin, Anton, Wu, Xinkai
Many abelian gauge theories in three dimensions flow to interacting conformal field theories in the infrared. We define a new class of local operators in these conformal field theories which are not...
D-Branes in Landau-Ginzburg Models and Algebraic Geometry (2002)
We study topological D-branes of type B in N=2 Landau-Ginzburg models, focusing on the case where all vacua have a mass gap. In general, tree-level topological string theory in the presence of...
Monopole Operators and Mirror Symmetry in Three Dimensions (2002)
Borokhov, Vadim, Kapustin, Anton, Wu, Xinkai
We study vortex-creating, or monopole, operators in 3d CFTs which are the infrared limit of N=2 and N=4 supersymmetric QEDs in three dimensions. Using large-Nf expansion, we construct monopole...
Topological Disorder Operators in Three-Dimensional Conformal Field Theory (2002)
Borokhov, Vadim, Kapustin, Anton, Wu, Xinkai
Many abelian gauge theories in three dimensions flow to interacting conformal field theories in the infrared. We define a new class of local operators in these conformal field theories which are not...
Hyper-Kähler metrics from periodic monopoles (2002)
Cherkis, Sergey A., Kapustin, Anton
Relative moduli spaces of periodic monopoles provide novel examples of asymptotically locally flat hyper-Kähler manifolds. By considering the interactions between well-separated periodic monopoles,...
Worldsheet Descriptions of Wrapped NS Five-Branes (2002)
Hori, Kentaro, Kapustin, Anton
We provide a world-sheet description of Neveu-Schwarz five-branes wrapped on a complex projective space. It is an orbifold of the product of an N=2 minimal model and the IR fixed point of a certain...
Hyperkahler Metrics from Periodic Monopoles (2001)
Cherkis, Sergey A., Kapustin, Anton
Relative moduli spaces of periodic monopoles provide novel examples of Asymptotically Locally Flat hyperkahler manifolds. By considering the interactions between well-separated periodic monopoles, we...
Remarks on A-branes, Mirror Symmetry, and the Fukaya category (2001)
Kapustin, Anton, Orlov, Dmitri
We discuss D-branes of the topological A-model (A-branes), which are believed to be closely related to the Fukaya category. We give string theory arguments which show that A-branes are not...
Duality of the fermionic 2d black hole and N = 2 Liouville theory as mirror symmetry (2001)
Hori, Kentaro, Kapustin, Anton
We prove the equivalence of the SL(2, R)/U(1) Kazama-Suzuki model, which is a fermionic generalization of the 2d Black Hole, and N = 2 Liouville theory. We show that this duality is an example of...
Duality of the Fermionic 2d Black Hole and N=2 Liouville Theory as Mirror Symmetry (2001)
Hori, Kentaro, Kapustin, Anton
We prove the equivalence of the SL(2,R)/U(1) Kazama-Suzuki model, which is a fermionic generalization of the 2d Black Hole, and N=2 Liouville theory. We show that this duality is an example of mirror...
Universality class of little string theories (2001)
We propose that little string theories in six dimensions are quasilocal quantum held theories. Such field theories obey a modification of Wightman axioms which allows Wightman functions (i.e. vacuum...
Periodic Monopoles With Singularities And N=2 Super-QCD (2000)
Cherkis, Sergey A., Kapustin, Anton
We study solutions of the Bogomolny equation on R^2\times S^1$ with prescribed singularities. We show that Nahm transform establishes a one-to-one correspondence between such solutions and solutions...
Vertex Algebras, Mirror Symmetry, And D-Branes: The Case Of Complex Tori (2000)
Kapustin, Anton, Orlov, Dmitri
A vertex algebra is an algebraic counterpart of a two-dimensional conformal field theory. We give a new definition of a vertex algebra which includes chiral algebras as a special case, but allows for...
Nahm Transform For Periodic Monopoles And N=2 Super Yang-Mills Theory (2000)
Cherkis, Sergey A., Kapustin, Anton
We study Bogomolny equations on $R^2\times S^1$. Although they do not admit nontrivial finite-energy solutions, we show that there are interesting infinite-energy solutions with Higgs field growing...
Noncommutative Instantons and Twistor Transform (2000)
Kapustin, Anton, Kuznetsov, Alexander, Orlov, Dmitri
Recently N.Nekrasov and A.Schwarz proposed a modification of the ADHM construction of instantons which produces instantons on a noncommutative deformation of the 4-dimensional real affine space. In...
On The Universality Class Of Little String Theories (1999)
We propose that Little String Theories in six dimensions are quasilocal quantum field theories. Such field theories obey a modification of Wightman axioms which allows Wightman functions (i.e. vacuum...
Heterotic little string theories and holography (1999)
Gremm, Martin, Kapustin, Anton
It has been conjectured that little string theories in six dimensions are holographic to critical string theory in a linear dilaton background. We test this conjecture for theories arising on the...
D-branes in a topologically nontrivial B-field (1999)
We study global worldsheet anomalies for open strings ending on several coincident D-branes in the presence of a B-field. We show that cancellation of anomalies is made possible by a correlation...
N = 1 theories, T-duality, and AdS/CFT correspondence (1999)
Gremm, Martin, Kapustin, Anton
We construct an Script N = 1 superconformal field theory using branes of type IIA string theory. The IIA construction is related via T-duality to a IIB configuration with 3-branes in a background...
Heterotic Little String Theories and Holography (1999)
Gremm, Martin, Kapustin, Anton
It has been conjectured that Little String Theories in six dimensions are holographic to critical string theory in a linear dilaton background. We test this conjecture for theories arising on the...
N=1 Theories, T-duality, and AdS/CFT correspondence (1999)
Gremm, Martin, Kapustin, Anton
We construct an N=1 superconformal field theory using branes of type IIA string theory. The IIA construction is related via T-duality to a IIB configuration with 3-branes in a background generated by...
On mirror symmetry in three dimensional Abelian gauge theories (1999)
Kapustin, Anton, Strassler, Matthew J.
We present an identity relating the partition function of N = 4 supersymmetric QED to that of its dual under mirror symmetry. The identity is a generalized Fourier transform. Many known properties of...
On Mirror Symmetry in Three Dimensional Abelian Gauge Theories (1999)
Kapustin, Anton, Strassler, Matthew J.
We present an identity relating the partition function of N=4 supersymmetric QED to that of its dual under mirror symmetry. The identity is a generalized Fourier transform. Many known properties of...
New IR dualities in supersymmetric gauge theory in three dimensions (1998)
Berkooz, Micha, Kapustin, Anton
We present nontrivial examples of d = 3 gauge theories with sixteen and eight supercharges which are infrared dual at special points in the moduli space. This duality is distinct from mirror...
D-n quivers from branes (1998)
D-branes can end on orbifold planes if the action of the orbifold group includes (-1) (FL). We consider configurations of D-branes ending on such orbifolds and study the low-energy theory on their...
New IR Dualities in Supersymmetric Gauge Theory in Three Dimensions (1998)
Berkooz, Micha, Kapustin, Anton
We present nontrivial examples of d=3 gauge theories with sixteen and eight supercharges which are infrared dual at special points in the moduli space. This duality is distinct from mirror symmetry....
New N=2 superconformal field theories from M/F theory orbifolds (1998)
Gukov, Sergei, Kapustin, Anton
We consider M-theory on (T^2\times R^2)/Z_n with M5 branes wrapped on R^2. One can probe this background with M5 branes wrapped on T^2. The theories on the probes provide many new examples of N=2...
D_n Quivers From Branes (1998)
D-branes can end on orbifold planes if the action of the orbifold group includes (-1)^{F_L}. We consider configurations of D-branes ending on such orbifolds and study the low-energy theory on their...
Solution of N=2 Gauge Theories via Compactification to Three Dimensions (1998)
A number of N=2 gauge theories can be realized by brane configurations in Type IIA string theory. One way of solving them involves lifting the brane configuration to M-theory. In this paper we...
The Higgs Branch of Impurity Theories (1998)
Kapustin, Anton, Sethi, Savdeep
We consider supersymmetric gauge theories with impurities in various dimensions. These systems arise in the study of intersecting branes. Unlike conventional gauge theories, the Higgs branch of an...
D_k Gravitational Instantons and Nahm Equations (1998)
Cherkis, Sergey A., Kapustin, Anton
We construct D_k asymptotically locally flat gravitational instantons as moduli spaces of solutions of Nahm equations. This allows us to find their twistor spaces and Kahler potentials.
Singular Monopoles and Supersymmetric Gauge Theories in Three Dimensions (1997)
Cherkis, Sergey A., Kapustin, Anton
According to the proposal of Hanany and Witten, Coulomb branches of N=4 SU(n) gauge theories in three dimensions are isometric to moduli spaces of BPS monopoles. We generalize this proposal to gauge...
Annihilation of S-wave quarkonia and the measurement of alpha_s (1997)
Gremm, Martin, Kapustin, Anton
We analyze the relativistic corrections to annihilation rates of S-wave quarkonia within the framework of NRQCD. We show that order v^2 corrections can be expressed in terms of the heavy quark pole...
The Coulomb branch of N=1 supersymmetric gauge theory with adjoint and fundamental matter (1996)
We consider N=1 SU(N_c) gauge theory with an adjoint matter field $\Phi$, N_f flavors of fundamentals Q and antifundamentals \tQ, and tree-level superpotential of the form $\tQ\Phi^l Q$. This...
Gremm, Martin, Kapustin, Anton
We compute the order 1/m_b^3 nonperturbative contributions to the inclusive differential B\to X_c\ell\bar\nu decay rate. They are parametrized by the expectation values of two local and four nonlocal...
Implications of the $B \to X \ell \bar\nu_\ell$ lepton spectrum for heavy quark physics (1996)
Gremm, Martin, Kapustin, Anton, Ligeti, Zoltan, Wise, Mark B.
The shape of the lepton spectrum in inclusive semileptonic $B\to X\,\ell\,\bar\nu_\ell$ decay is sensitive to matrix elements of the heavy quark effective theory, $\bar\Lambda$ and $\lambda_1$. From...
Perturbative corrections to zero recoil inclusive $B$ decay sum rules (1996)
Kapustin, Anton, Ligeti, Zoltan, Wise, Mark B., Grinstein, Benjamin
Comparing the result of inserting a complete set of physical states in a time ordered product of $b$ decay currents with the operator product expansion gives a class of zero recoil sum rules. They...
Leading logarithms of the $b$ quark mass in inclusive $B\to X_s\gamma$ decay (1995)
Kapustin, Anton, Ligeti, Zoltan, Politzer, H. David
Part of the order $\alpha_s$ correction to the inclusive $B\to X_s\,\gamma$ photon spectrum is enhanced by $\log(m_b^2/m_s^2)$. We discuss its origin and sum the corrections proportional to...
Moments of the photon spectrum in the inclusive $B\to X_s\gamma$ decay (1995)
Kapustin, Anton, Ligeti, Zoltan
The moments of the photon spectrum in the inclusive $B\to X_s\,\gamma$ decay can be calculated to order $\alpha_s$ accuracy at present, without knowing the $\alpha_s$ corrections to the effective...