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We derive the off-shell nilpotent as well as absolutely anticommuting (anti-)BRST symmetry transformations, within the framework of superfield approach to BRST formalism, for a free particle system constrained to move on a torus. We also…

High Energy Physics - Theory · Physics 2014-11-24 R. Kumar

We consider the BRST symmetric four dimensional BF theory, a topological theory, containing antysymmetric tensor fields in Landau gauge and extend the BRST symmetry by introducing a shift symmetry to it. Within this formulation, the…

High Energy Physics - Theory · Physics 2017-09-05 Manoj Kumar Dwivedi

Bearing in mind BV quantization of gauge gravitation theory, we extend general covariant transformations to the BRST ones.

High Energy Physics - Theory · Physics 2007-05-23 D. Bashkirov , G. Sardanashvily

We provide full details of a BV formulation of $\mathcal N=1$ supergravity in ten dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither…

High Energy Physics - Theory · Physics 2025-08-11 Julian Kupka , Charles Strickland-Constable , Fridrich Valach

We exploit the potential and power of the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST invariant restrictions on the (anti-)chiral supervariables to derive the proper (anti-)BRST symmetries for the reparameterization invariant one…

High Energy Physics - Theory · Physics 2018-08-24 S. Kumar , B. Chauhan , R. P. Malik

A mass parameter for the gauge bosons in gauge-fixed four-dimensional Yang-Mills theory can be accommodated in a local and manifestly BRST-invariant action. The construction is based on the Faddeev-Popov method involving a nonlinear…

High Energy Physics - Theory · Physics 2019-05-01 Shimasadat Asnafi , Holger Gies , Luca Zambelli

It is shown that anti-BRST invariance in quantum gauge theories can be considered as the quantized version of the symmetry of classical gauge theories with respect to different gauge fixing mechanisms.

High Energy Physics - Theory · Physics 2017-02-07 Amir Abbass Varshovi

The geometric interpretation of the Batalin-Vilkovisky antibracket as the Schouten bracket of functional multivectors is examined in detail. The identification is achieved by the process of repeated contraction of even functional…

High Energy Physics - Theory · Physics 2010-04-06 Paul McCloud

We review the Lagrangian Batalin--Vilkovisky method for gauge theories. This includes gauge fixing, quantisation and regularisation. We emphasize the role of cohomology of the antibracket operation. Our main example is $d=2$ gravity, for…

High Energy Physics - Theory · Physics 2015-06-26 Walter Troost , Antoine Van Proeyen

The details of Lagrangian description of irreducible integer higher-spin representations of the Poincare group with an Young tableaux $Y[\hat{s}_1,\hat{s}_2]$ having $2$ columns are considered for Bose particles propagated on an arbitrary…

High Energy Physics - Theory · Physics 2014-12-11 Alexander A. Reshetnyak

In this paper we will analyse the anti-BRST symmetries of Bagger-Lambert-Gustavsson (BLG) theory in presence of a boundary. We will analyses these symmetries in both linear and non-linear gauges. We will also derive the finite field version…

High Energy Physics - Theory · Physics 2015-03-16 Mir Faizal , Sudhaker Upadhyay , Bhabani P. Mandal

We determine the solution to the classical master equation for a 3D topological field theory with Wess-Zumino term and an underlying geometrical structure of a twisted R-Poisson manifold on its target space. The graded geometry of the…

High Energy Physics - Theory · Physics 2022-10-19 Athanasios Chatzistavrakidis , Noriaki Ikeda , Grgur Šimunić

The Lagrangian field-antifield formalism of Batalin and Vilkovisky (BV) is used to investigate the application of the collective coordinate method to soliton quantisation. It is shown how Noether identities and local symmetries of the…

High Energy Physics - Theory · Physics 2009-10-30 F. Zimmerschied

We demonstrate the existence of a set of novel off-shell nilpotent and absolutely anticommuting continuous symmetry transformations, within the framework of the Becchi-Rouet-Stora-Tyutin (BRST) formalism, which are over and above the usual…

High Energy Physics - Theory · Physics 2023-12-19 R. P. Malik

We report on the nonlocal gauge invariant operator of dimension two, F 1/D^2 F. We are able to localize this operator by introducing a suitable set of (anti)commuting antisymmetric tensor fields. Starting from this, we succeed in…

High Energy Physics - Theory · Physics 2008-11-26 D. Dudal , M. A. L. Capri , J. A. Gracey , V. E. R. Lemes , R. F. Sobreiro , S. P. Sorella , H. Verschelde

Any regular quantum mechanical system may be cast into an abelian gauge theory by simply reformulating it as a reparametrization invariant theory. We present a detailed study of the BRST quantization of such reparametrization invariant…

High Energy Physics - Theory · Physics 2007-05-23 Robert Marnelius , Niclas Sandstrom

This work extends to the D-dimensional space-time the topological mass generation mechanism of the nonabelian BF model in four dimensions. In order to construct the gauge invariant nonabelian kinetic terms for a (D-2)-form B and a 1-form A,…

High Energy Physics - Theory · Physics 2009-10-31 R. R. Landim , C. A. S. Almeida

In BV formalism we can consider a Lagrangian submanifold as a gauge condition. Starting with the BV action functional we construct a closed form on the space of Lagrangian submanifolds. If the action functional is invariant with respect to…

High Energy Physics - Theory · Physics 2017-08-02 Andrei Mikhailov , Albert Schwarz

The main limitations of string field theory arise because its present formulation requires a background representing a classical solution, a background defined by a strictly conformally invariant theory. Here we sketch a construction for a…

High Energy Physics - Theory · Physics 2009-10-30 Barton Zwiebach

We study systematically finite BRST- BV transformations in the field-antifield formalism. We present explicitly their Jacobians and the form of a solution to the compensation equation determining the functional field dependence of finite…

High Energy Physics - Theory · Physics 2015-06-19 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin
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