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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 gauge theories with super-Yang-Mills…

High Energy Physics - Theory · Physics 2009-11-07 Friedemann Brandt

In the framework of augmented superfield approach, we provide the geometrical origin and interpretation for the nilpotent (anti-)BRST charges, (anti-)co-BRST charges and a non-nilpotent bosonic charge. Together, these local and conserved…

High Energy Physics - Theory · Physics 2011-07-19 R. P. Malik

An equivalent formulation of the Gribov-Zwanziger theory accounting for the gauge fixing ambiguity in the Landau gauge is presented. The resulting action is constrained by a Slavnov-Taylor identity stemming from a nilpotent exact BRST…

High Energy Physics - Theory · Physics 2013-05-30 David Dudal , Silvio Paolo Sorella

The couplings of a collection of BF models to matter theories are addressed in the framework of the antifield-BRST deformation procedure. The general theory is exemplified in the case where the matter fields are a set of Dirac spinors and…

High Energy Physics - Theory · Physics 2011-09-13 C. Bizdadea , E. M. Cioroianu , S. O. Saliu , S. C. Sararu

We discuss the extended BRST and anti-BRST symmetry (including shift symmetry) in the Batalin-Vilkovisky (BV) formulation for the Chern-Simons (CS) theories in $(2+1)$ spacetime dimensions. Further we develop the superspace description of…

High Energy Physics - Theory · Physics 2015-05-08 Sudhaker Upadhyay , Manoj Kumar Dwivedi , Bhabani Prasad Mandal

M{\o}ller maps are identifications between the observables of a perturbatively interacting physical system and the observables of its underlying free (i.e. non-interacting) system. This work studies and characterizes obstructions to the…

Mathematical Physics · Physics 2025-11-26 Marco Benini , Alastair Grant-Stuart , Giorgio Musante , Alexander Schenkel

We discuss the renormalization of higher-derivative gravity, both without and with matter fields, in terms of two primary coupling constants rather than three. A technique for determining the dependence of the Gauss-Bonnet coupling constant…

High Energy Physics - Theory · Physics 2015-04-22 Martin B. Einhorn , D. R. Timothy Jones

A consistent theory of supersymmetry breaking must have a hidden sector, an observable sector, and must be embedded in a locally supersymmetric theory which arises from string theory. For phenomenological reasons it must also transmit…

High Energy Physics - Theory · Physics 2009-03-27 S. P. de Alwis

This article is expository in nature, outlining some of the many still incompletely understood features of higher spin field theory. We are mainly considering higher spin gauge fields in their own right as free-standing theoretical…

High Energy Physics - Theory · Physics 2008-12-19 Anders K. H. Bengtsson

The cross-couplings among several Weyl gravitons (described in the free limit by a sum of linearized Weyl actions) in the presence of a scalar field are studied with the help of the deformation theory based on local BRST cohomology. Under…

High Energy Physics - Theory · Physics 2008-11-26 C. Bizdadea , E. M. Cioroianu , A. C. Lungu

Non-relativistic charged open strings coupled with Abelian gauge fields are quantized in a geometric representation that generalizes the Loop Representation. The model comprises open-strings interacting through a Kalb-Ramond field in four…

High Energy Physics - Theory · Physics 2016-08-16 P. J. Arias , N. Bolívar , E. Fuenmayor , Lorenzo Leal

The structure of equivariant cohomology in non-abelian localization formulas and topological field theories is discussed. Equivariance is formulated in terms of a nilpotent BRST symmetry, and another nilpotent operator which restricts the…

High Energy Physics - Theory · Physics 2009-10-28 Antti J. Niemi , O. Tirkkonen

We show that the specific operators V^a appearing in the triplectic formalism can be viewed as the anti-Hamiltonian vector fields generated by a second rank irreducible Sp(2) tensor. This allows for an explicit realization of the triplectic…

High Energy Physics - Theory · Physics 2009-11-07 Bodo Geyer , Petr Lavrov , Armen Nersessian

The Rarita-Schwinger theory of free massive spin-3/2 field obeys the physical degrees of freedom counting, and one can distinguish ``consistent'' couplings which maintain this property and ``inconsistent'' couplings which destroy it. We…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Pascalutsa

We consider the superspace BRST and BV description of $4D,~\mathcal{N}=1$ Super Maxwell theory and its non-abelian generalization Super Yang-Mills. By fermionizing the superspace gauge transformation of the gauge superfields we define the…

High Energy Physics - Theory · Physics 2022-01-19 I. L. Buchbinder , S. James Gates , K. Koutrolikos

Boundary interactions of closed-string with open-strings are examined intended to provide a constructive formulation of boundary string field theory. As an illustration, we consider the BPS $D$-brane of the type II superstring in a constant…

High Energy Physics - Theory · Physics 2007-05-23 Takashi Maeda , Toshio Nakatsu , Taku Oonishi

We generalize the usual gauge transformations connected with the 1-form gauge potential to the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the four (3+1)-dimensional (4D) topologically massive non-Abelian…

High Energy Physics - Theory · Physics 2011-04-01 R. Kumar , R. P. Malik

We review the application of BRST and BRST-BV approaches to construct the generic off-shell local Lorentz covariant cubic interaction vertices for irreducible massless and massive higher integer spin fields (as the candidates for massive…

High Energy Physics - Theory · Physics 2024-10-25 Alexander A. Reshetnyak

We focus on the continuous symmetry transformations for the three ($2 + 1$)-dimensional (3D) system of a combination of the free Abelian 1-form and 2-form gauge theories within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism. We…

High Energy Physics - Theory · Physics 2024-08-27 A. K. Rao , R. P. Malik

We discuss the use of BRST symmetry and the resulting Ward identities for orbifold gauge theories as consistency checks in an arbitrary number of dimensions. We verify that both the usual orbifold symmetry breaking and the recently proposed…

High Energy Physics - Phenomenology · Physics 2007-05-23 Thorsten Ohl , Christian Schwinn