Instantons on the Taub-NUT Space (2009)
We present a construction of self-dual Yang-Mills connections on the Taub-NUT space. We illustrate it by finding explicit expressions for all SU(2) instantons of instanton number one and generic...
On Superspace Actions for Multiple M2-Branes, Metric 3-Algebras and their Classification (2008)
Cherkis, Sergey A., Dotsenko, Vladimir, Saemann, Christian
We classify canonical metric 3-algebra structures on matrix algebras and find novel three-dimensional conformally invariant actions in N=4 projective superspace based on them. These can be viewed as...
Moduli Spaces of Instantons on the Taub-NUT Space (2008)
We present ADHM-Nahm data for instantons on the Taub-NUT space and encode these data in terms of Bow Diagrams. We study the moduli spaces of the instantons and present these spaces as finite...
Singular Monopoles via the Nahm Transform (2008)
Sergey A. Cherkis, Brian Durcan
We present explicit expressions for the fields of a charge one BPS monopole with two Dirac singularities. These are solutions of the nonlinear Bogomolny equations with the gauge group U(2) or SO(3)....
The ’t Hooft-Polyakov Monopole in the Presence of an ’t Hooft Operator (2008)
Sergey A. Cherkis, Brian Durcan
We present explicit BPS field configurations representing one nonabelian monopole with one minimal weight ’t Hooft operator insertion. We explore the SO(3) and SU(2) gauge groups. In the case of...
Singular Monopoles via the Nahm Transform (2007)
Cherkis, Sergey A., Durcan, Brian
We present explicit expressions for the fields of a charge one BPS monopole with two Dirac singularities. These are solutions of the nonlinear Bogomolny equations with the gauge group U(2) or SO(3)....
The 't Hooft-Polyakov Monopole in the Presence of a 't Hooft Operator (2007)
Cherkis, Sergey A., Durcan, Brian
We present explicit BPS field configurations representing one nonabelian monopole with one minimal weight 't Hooft operator insertion. We explore the SO(3) and SU(2) gauge groups. In the case of...
A Journey Between Two Curves (2007)
A typical solution of an integrable system is described in terms of a holomorphic curve and a line bundle over it. The curve provides the action variables while the time evolution is a linear flow on...
A Journey Between Two Curves (2007)
A typical solution of an integrable system is described in terms of a holomorphic curve and a line bundle over it. The curve provides the action variables while the time evolution is a linear flow on...
Higher-Dimensional Twistor Transforms using Pure Spinors (2004)
Berkovits, Nathan, Cherkis, Sergey A.
Hughston has shown that projective pure spinors can be used to construct massless solutions in higher dimensions, generalizing the four-dimensional twistor transform of Penrose. In any even...
Deformations of N=4 SYM and integrable spin chain models (2004)
Berenstein, David, Cherkis, Sergey A.
Beginning with the planar limit of N=4 SYM theory, we study planar diagrams for field theory deformations of N=4 which are marginal at the free field theory level. We show that the requirement of...
Sergey A. Cherkis, Nigel J. Hitchin
UK We use two different methods to obtain Asymptotically Locally Flat hyperkähler metrics of type Dk.
Nathan Berkovits, Sergey A. Cherkis
In any even (Euclidean) dimension d = 2n, projective pure spinors parameterize the coset space SO(2n)/U(n), which is the space of all complex structures on R 2n. For d = 4 and d = 6, these spaces are...
Gravitational Instantons of Type D_k (2003)
Cherkis, Sergey A., Hitchin, Nigel J.
We use two different methods to obtain Asymptotically Locally Flat hyperkahler metrics of type D_k.
Supergravity Solution of Intersecting Branes and AdS/CFT with Flavor (2002)
Cherkis, Sergey A., Hashimoto, Akikazu
We construct the supergravity solution for fully localized D2/D6 intersection. The near horizon limit of this solution is the supergravity dual of supersymmetric Yang-Mills theory in 2+1 dimensions...
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,...
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...
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...
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...
Supergravity Solution for M5-brane Intersection (1999)
Supergravity solution describing two intersecting M5-branes is presented. The branes are fixed in the relative transverse directions and are delocalized along the overall transverse ones. The...
Supersymmetric Gauge Theories and Gravitational Instantons (1998)
Various string theory realizations of three-dimensional gauge theories relate them to gravitational instantons, Nahm equations and monopoles. We use this correspondence to model self-dual...
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...