Supersymmetry algebra cohomology: I. Definition and general structure (2009)
The paper concerns standard supersymmetry algebras in diverse dimensions, involving bosonic translational generators and fermionic supersymmetry generators. A cohomology related to these...
Max-Planck-Institut fur Mathematik in den Naturwissenschaften Leipzig (2007)
Superstring Brst Cohomology, Friedemann Br, Er Kling, Friedemann Brandt, Alexander Kling, Maximilian Kreuzer, ...
by
Max-Planck-Institut fur Mathematik in den Naturwissenschaften Leipzig (2007)
Friedemann Br, Glenn Barnich, Glenn Barnich, Friedemann Brandt
Covariant theory of asymptotic symmetries, conservation laws and central charges by
Seiberg-Witten maps and anomalies in noncommutative Yang-Mills theories (2004)
A BRST-cohomological analysis of Seiberg-Witten maps and results on gauge anomalies in noncommutative Yang-Mills theories with general gauge groups are reviewed.
Local BRST cohomology and Seiberg-Witten maps in noncommutative Yang-Mills theory (2003)
Barnich, Glenn, Brandt, Friedemann, Grigoriev, Maxim
We analyze in detail the recursive construction of the Seiberg-Witten map and give an exhaustive description of its ambiguities. The local BRST cohomology for noncommutative Yang-Mills theory is...
Anomaly freedom in Seiberg-Witten noncommutative gauge theories (2003)
Brandt, Friedemann, Martin, C. P., Ruiz, F. Ruiz
We show that noncommutative gauge theories with arbitrary compact gauge group defined by means of the Seiberg-Witten map have the same one-loop anomalies as their commutative counterparts. This is...
Asymptotically anti-de Sitter space-times: symmetries and conservation laws revisited (2003)
Barnich, Glenn, Brandt, Friedemann, Claes, Kim
In this short note, we verify explicitly in static coordinates that the non trivial asymptotic Killing vectors at spatial infinity for anti-de Sitter space-times correspond one to one to the...
Local BRST cohomology and Seiberg-Witten maps in noncommutative Yang-Mills theory (2003)
Barnich, Glenn, Brandt, Friedemann, Grigoriev, Maxim
We analyze in detail the recursive construction of the Seiberg-Witten map and give an exhaustive description of its ambiguities. The local BRST cohomology for noncommutative Yang-Mills theory is...
The local cohomology of an extended BRST differential which includes global N=1 supersymmetry and Poincare transformations is completely and explicitly computed in four-dimensional supersymmetric...
Seiberg-Witten maps and noncommutative Yang-Mills theories for arbitrary gauge groups (2002)
Barnich, Glenn, Brandt, Friedemann, Grigoriev, Maxim
Seiberg-Witten maps and a recently proposed construction of noncommutative Yang-Mills theories (with matter fields) for arbitrary gauge groups are reformulated so that their existence to all orders...
Lectures on supergravity (2002)
The text is an essentially self-contained introduction to four-dimensional N=1 supergravity, including its couplings to super Yang-Mills and chiral matter multiplets, for readers with basic knowledge...
Covariant theory of asymptotic symmetries, conservation laws and central charges (2001)
Barnich, Glenn, Brandt, Friedemann
Under suitable assumptions on the boundary conditions, it is shown that there is a bijective correspondence between equivalence classes of asymptotic reducibility parameters and asymptotically...
Gauge theories of spacetime symmetries (2001)
Gauge theories of conformal spacetime symmetries are presented which merge features of Yang-Mills theory and general relativity in a new way. The models are local but nonpolynomial in the gauge...
Superstring BRST Cohomology (2001)
Brandt, Friedemann, Kling, Alexander, Kreuzer, Maximilian
We first derive all world-sheet action functionals for NSR superstring models with (1,1) supersymmetry and any number of abelian gauge fields, for gauge transformations of the standard form. Then we...
Jet coordinates for local BRST cohomology (2001)
The construction of appropriate jet space coordinates for calculating local BRST cohomology groups is discussed. The relation to tensor calculus is briefly reviewed too.
Superstring BRST cohomology (2001)
Brandt,Friedemann, Kling,Alexander, Kreuzer,Maximilian
We first derive all world-sheet action functionals for NSR superstring models with (1,1) supersymmetry and any number of abelian gauge fields, for gauge transformations of the standard form. Then we...
Jet coordinates for local BRST cohomology (2001)
The construction of appropriate jet space coordinates for calculating local BRST cohomology groups is discussed. The relation to tensor calculus is briefly reviewed too.
Superstring BRST cohomology (2001)
Brandt, Friedemann, Kling, Alexander, Kreuzer, Maximilian
We first derive all world-sheet action functionals for NSR superstring models with (1,1) supersymmetry and any number of abelian gauge fields, for gauge transformations of the standard form. Then we...
Gauge theories of spacetime symmetries (2001)
Gauge theories of conformal spacetime symmetries are presented which merge features of Yang-Mills theory and general relativity in a new way. The models are local but nonpolynomial in the gauge...
An overview of new supersymmetric gauge theories with 2-form gauge potentials (2001)
An overview of new 4d supersymmetric gauge theories with 2-form gauge potentials constructed by various authors during the past five years is given. The key role of three particular types of...
Superstring BRST cohomology (2001)
Brandt, Friedemann, Kling, Alexander, Kreuzer, Maximilian
We first derive all world-sheet action functionals for NSR superstring models with local (1,1) supersymmetry and any number of abelian gauge fields. The result includes the well-known superstring...
An overview of new supersymmetric gauge theories with 2-form gauge potentials (2000)
An overview of new 4d supersymmetric gauge theories with 2-form gauge potentials constructed by various authors during the past five years is given. The key role of three particular types of...
Hidden symmetries of supersymmetric p-form gauge theories (2000)
Field theories with p-form gauge potentials can possess ``hidden'' symmetries leaving the field strengths invariant on-shell without being gauge symmetries on-shell. The relevance of such symmetries...
Actions and symmetries of NSR superstrings and D-strings (2000)
Brandt, Friedemann, Kling, Alexander, Kreuzer, Maximilian
We present all NSR superstring and super-D-string actions invariant under a set of prescribed gauge transformations, and characterize completely their global symmetries. In particular we obtain...
New N=2 supersymmetric gauge theories: The double tensor multiplet and its interactions (2000)
The double tensor multiplet of D=4, N=2 supersymmetry, relevant to type IIB superstring vacua, is derived and its gauge invariant and N=2 supersymmetric interactions are analysed, both...
Local BRST cohomology in gauge theories (2000)
Barnich, Glenn, Brandt, Friedemann, Henneaux, Marc
The general solution of the anomaly consistency condition (Wess-Zumino equation) has been found recently for Yang-Mills gauge theory. The general form of the counterterms arising in the...
Exotic Gauge Theories from Tensor Calculus (1999)
Brandt, Friedemann, Simon, Joan, Theis, Ulrich
We construct non-standard interactions between exterior form gauge fields by gauging a particular global symmetry of the Einstein-Maxwell action for such fields. Furthermore we discuss...
Supersymmetrization of generalized Freedman-Townsend models (1999)
Brandt, Friedemann, Theis, Ulrich
We review briefly generalized Freedman-Townsend models found recently by Henneaux and Knaepen, and provide supersymmetric versions of such models in four dimensions which couple 2-form gauge...
D=4, N=1 Supersymmetric Henneaux-Knaepen Models (1998)
Brandt, Friedemann, Theis, Ulrich
We construct N=1 supersymmetric versions of four-dimensional Freedman-Townsend models and generalizations thereof found recently by Henneaux and Knaepen, with couplings between 1-form and 2-form...
Infinitely many rigid symmetries of kappa-invariant D-string actions (1998)
Brandt, Friedemann, Gomis, Joaquim, Mateos, David, Simón, Joan
We show that each rigid symmetry of a D-string action is contained in a family of infinitely many symmetries. In particular, kappa-invariant D-string actions have infinitely many supersymmetries. The...
Deformations of global symmetries in the extended antifield formalism (1998)
It is outlined how deformations of field theoretical rigid symmetries can be constructed and classified by cohomological means in the extended antifield formalism. Special attention is devoted to...
D-string on near horizon geometries and infinite conformal symmetry (1998)
Brandt, Friedemann, Gomis, Joaquim, Simón, Joan
We show that the symmetries of effective D-string actions in constant dilaton backgrounds are directly related to homothetic motions of the background metric. In presence of such motions, there are...
Brandt, Friedemann, Gomis, Joaquim, Simón, Joan
We analyse completely the BRST cohomology on local functionals for two dimensional sigma models coupled to abelian world sheet gauge fields, including effective bosonic D-string models described by...
Gauge covariant algebras and local BRST cohomology (1997)
The formulation of the local BRST cohomology on infinite jet bundles and its relation and reduction to gauge covariant algebras are reviewed. As an illustration, we compute the local BRST cohomology...
Nonpolynomial gauge invariant interactions of 1-form and 2-form gauge potentials (1997)
Brandt, Friedemann, Dragon, Norbert
A four dimensional gauge theory with nonpolynomial but local interactions of 1-form and 2-form gauge potentials is constructed. The model is a nontrivial deformation of a free gauge theory with...
The rigid symmetries of bosonic D-strings (1997)
Brandt, Friedemann, Gomis, Joaquim, Simon, Joan
We analyse the classical symmetries of bosonic D-string actions and generalizations thereof. Among others, we show that the simplest actions of this type have infinitely many nontrivial rigid...
Extended antifield-formalism (1997)
Brandt, Friedemann, Henneaux, Marc, Wilch, André
The antifield formalism is extended so as to incorporate the rigid symmetries of a given theory. To that end, it is necessary to introduce global ghosts not only for the given rigid symmetries, but...
Deformed supergravity with local R-symmetry (1997)
Using deformation theory based on BRST cohomology, a supergravity model is constructed which interpolates through a continuous deformation parameter between new minimal supergravity with an extra...
Ward identities for rigid symmetries of higher order (1996)
Brandt, Friedemann, Henneaux, Marc, Wilch, André
Higher order conservation laws, associated with conserved antisymmetric tensors $j^{\mu_1 ... \mu_k}$ fulfilling $\partial_{\mu_1} j^{\mu_1 ... \mu_k} \approx 0$, are shown to define rigid symmetries...
Local BRST cohomology in minimal D=4, N=1 supergravity (1996)
The local BRST cohomology is computed in old and new minimal supergravity, including the coupling to Yang-Mills gauge multiplets. This covers the determination of all gauge invariant local actions...
Global Symmetries in the Antifield-Formalism (1996)
Brandt, Friedemann, Henneaux, Marc, Wilch, André
In this paper, two things are done. (i) First, it is shown that any global symmetry of a gauge-invariant theory can be extended to the ghosts and the antifields so as to leave invariant the solution...
On the determination of anomalies in supersymmetric theories (1996)
Brandt, Friedemann, París, Jordi
We develop an efficient technique to compute anomalies in supersymmetric theories by combining the so-called nonlocal regularization method and superspace techniques. To illustrate the method we...
Local BRST cohomology and covariance (1996)
The paper provides a framework for a systematic analysis of the local BRST cohomology in a large class of gauge theories. The approach is based on the cohomology of s+d in the jet space of fields and...
Background charges and consistent continuous deformations of $2d$ gravity theories (1995)
Brandt, Friedemann, Troost, Walter, Van Proeyen, Antoine
We construct and discuss all background charges and continuous consistent deformations of standard $2d$ gravity theories with scalar matter fields. It turns out that the background charges and those...
The BRST--antibracket cohomology of $2d$ gravity conformally coupled to scalar matter (1995)
Brandt, Friedemann, Troost, Walter, Van Proeyen, Antoine
We compute completely the BRST--antibracket cohomology on local functionals in two-dimensional Weyl invariant gravity for given classical field content (two dimensional metric and scalar matter...
Local BRST cohomology in Einstein--Yang--Mills theory (1995)
Barnich, Glenn, Brandt, Friedemann, Henneaux, Marc
We analyse in detail the local BRST cohomology in Einstein-Yang-Mills theory using the antifield formalism. We do not restrict the Lagrangian to be the sum of the standard Hilbert and Yang-Mills...
Conserved currents and gauge invariance in Yang-Mills theory (1994)
Barnich, Glenn, Brandt, Friedemann, Henneaux, Marc
It is shown that in the absence of free abelian gauge fields, the conserved currents of (classical) Yang-Mills gauge models coupled to matter fields can be always redefined so as to be gauge...
BRST-Antibracket Cohomology in 2D Conformal Gravity (1994)
Brandt, Friedemann, Troost, Walter, Van Proeyen, Antoine
We present results of a computation of the BRST-antibracket cohomology in the space of local functionals of the fields and antifields for a class of 2d gravitational theories which are conformally...
It is shown that B\"acklund transformations (BTs) and zero-curvature representations (ZCRs) of systems of partial differential equations (PDEs) are closely related. The connection is established by...
Structure of BRS-Invariant Local Functionals (1993)
For a large class of gauge theories a nilpotent BRS-operator $s$ is constructed and its cohomology in the space of local functionals of the off-shell fields is shown to be isomorphic to the...
Anomaly candidates and invariants of D=4, N=1 supergravity theories (1993)
All anomaly candidates and the form of the most general invariant local action are given for old and new minimal supergravity, including the cases where additional Yang--Mills and chiral matter...
Lagrangedichten und Anomalien in vierdimensionalen supersymmetrischen Theorien [microform] / (1991)
Thesis (doctoral)--Universität Hannover, 1991.