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We demonstrate the discrete duality symmetry between the Abelian 1-form and 2-form basic gauge fields in the context of a three $(2 + 1)$-dimensional ($3D$) combined system of the field-theoretic model of the free Abelian 1-from and 2-form…

高能物理 - 理论 · 物理学 2025-08-22 R. Kumar , R. P. Malik

We derive the continuous nilpotent symmetries of the four (3 + 1)-dimensional (4D) model of the Hodge theory (i.e. 4D Abelian 2-form gauge theory) by exploiting the beauty and strength of the symmetry invariant restrictions on the…

高能物理 - 理论 · 物理学 2018-06-08 A. Shukla , N. Srinivas , R. P. Malik

The celebrated Curci-Ferrari (CF) type of restrictions are invoked to obtain the off-shell nilpotent and absolutely anticommuting (anti-) BRST as well as (anti-) co-BRST symmetry transformations in the context of the Lagrangian description…

高能物理 - 理论 · 物理学 2010-01-21 R. P. Malik , B. P. Mandal , S. K. Rai

We couple three-dimensional Chern-Simons gauge theory with BF theory and study deformations of the theory by means of the antifield BRST formalism. We analyze all possible consistent interaction terms for the action under physical…

高能物理 - 理论 · 物理学 2014-11-18 Noriaki Ikeda

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 fields) and gauge symmetries (two dimensional…

高能物理 - 理论 · 物理学 2009-10-28 Friedemann Brandt , Walter Troost , Antoine Van Proeyen

We extend previous work on antifield dependent local BRST cohomology for matter coupled gauge theories of Yang-Mills type to the case of gauge groups that involve free abelian factors. More precisely, we first investigate in a model…

高能物理 - 理论 · 物理学 2018-06-13 Glenn Barnich , Nicolas Boulanger

We discuss some aspects of the topological features of a non-interacting two (1+1)-dimensional Abelian gauge theory in the framework of superfield formalism. This theory is described by a BRST invariant Lagrangian density in the Feynman…

高能物理 - 理论 · 物理学 2008-11-26 R. P. Malik

We investigate the problem of introducing consistent self-couplings in free theories for mixed tensor gauge fields whose symmetry properties are characterized by Young diagrams made of two columns of arbitrary (but different) lengths. We…

高能物理 - 理论 · 物理学 2009-11-10 Xavier Bekaert , Nicolas Boulanger , Sandrine Cnockaert

Consistent couplings between a set of vector fields and a system of matter fields are analysed in the framework of Lagrangian BRST cohomology.

高能物理 - 理论 · 物理学 2017-09-27 C. Bizdadea , E. M. Cioroianu , M. T. Miauta , I. Negru , S. O. Saliu

The antibracket formalism for gauge theories, at both the classical and quantum level, is reviewed. Gauge transformations and the associated gauge structure are analyzed in detail. The basic concepts involved in the antibracket formalism…

高能物理 - 理论 · 物理学 2009-10-28 Joaquim Gomis , Jordi Paris , Stuart Samuel

The mutual compatibility of the dynamical equations and constraints describing a massive particle of arbitrary spin, though essential for consistency, is generically lost in the presence of interactions. The conventional Lagrangian approach…

高能物理 - 理论 · 物理学 2015-06-16 Ignacio Cortese , Rakibur Rahman , M. Sivakumar

The interactions that can be introduced between a massless Rarita-Schwinger field and an Abelian three-form gauge field in eleven spacetime dimensions are analyzed in the context of the deformation of the free solution of the master…

高能物理 - 理论 · 物理学 2009-03-04 E. M. Cioroianu , E. Diaconu , S. C. Sararu

A generalized version is proposed for the field-antifield formalism. The antibracket operation is defined in arbitrary field-antifield coordinates. The antisymplectic definitions are given for first- and second-class constraints. In the…

高能物理 - 理论 · 物理学 2008-11-26 I. A. Batalin , I. V. Tyutin

We describe a new realization of both global and local supersymmetry acting in spaces of commuting and anticommuting differential forms. Unlike the standard supersymmetry, it has Lorentz scalar transformation parameters. It is related but…

高能物理 - 唯象学 · 物理学 2013-05-21 Alex Jourjine

A definition of soft breaking of BRST symmetry in the field-antifield formalism is proposed, valid for general gauge theories and arbitrary gauge fixing. The Ward identities for the generating functionals of Green's functions are derived,…

高能物理 - 理论 · 物理学 2015-05-30 Peter Lavrov , Olaf Lechtenfeld , Alexander Reshetnyak

Let $B_{\mu \nu }^a$ ($a=1,...,N$) be a system of $N$ free two-form gauge fields, with field strengths $H_{\mu \nu \rho }^a = 3 \partial _{[\mu }B_{\nu \rho ]}^a$ and free action $S_0$ equal to $(-1/12)\int d^nx\ g_{ab}H_{\mu \nu \rho…

高能物理 - 理论 · 物理学 2009-10-28 Marc Henneaux

Non-relativistic charged particles and strings coupled with abelian gauge fields are quantized in a geometric representation that generalizes the Loop Representation. We consider three models: the string in self-interaction through a…

高能物理 - 理论 · 物理学 2009-11-10 P. J. Arias , E. Fuenmayor , Lorenzo Leal

In this paper we discuss the (anti-)BRST symmetries and $W$-algebra of higher derivative theories of relativistic particles satisfying general gauge conditions. Using this formalism, the connection between the (anti-)BRST symmetries and…

高能物理 - 理论 · 物理学 2013-09-18 Rabin Banerjee , Biswajit Paul , Sudhaker Upadhyay

The local covariant continuum action of an SU(2) gauge theory in covariant Abelian gauges is investigated. It describes the critical limit of an Abelian Lattice Gauge Theory (LGT) with an equivariant BRST-symmetry. This Abelian LGT has…

高能物理 - 理论 · 物理学 2007-05-23 Martin Schaden

The finite field dependent BRST (FFBRST) technique generally interrelates two different gauge fixed theories. Here we propose a new and unique FFBRST transformation that transforms the effective theory in Lorenz gauge, which represents…

高能物理 - 理论 · 物理学 2022-06-13 Haresh Raval , Bhabani Prasad Mandal