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Within the framework of augmented version of superfield formalism, we derive the superspace unitary operator and show its usefulness in the derivation of Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for a set of…

High Energy Physics - Theory · Physics 2016-02-26 T. Bhanja , N. Srinivas , R. P. Malik

Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we show that the four $(3+1)$-dimensional (4D) massive Abelian 2-form gauge theory (without any interaction with matter fields) is a model for the Hodge theory because its…

High Energy Physics - Theory · Physics 2020-02-24 S. Krishna , R. Kumar , R. P. Malik

We derive the nilpotent (anti-)BRST and (anti-)co-BRST symmetry transformations for the system of a toy model of Hodge theory (i.e. a rigid rotor) by exploiting the (anti-)BRST and (anti-)co-BRST invariant restrictions on the (anti-)chiral…

High Energy Physics - Theory · Physics 2019-11-15 T. Bhanja , N. Srinivas , R. P. Malik

We exploit the power and potential of the (anti-)chiral superfield approach (ACSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism to derive the nilpotent (anti-)BRST symmetry transformations for any arbitrary D-dimensional interacting…

High Energy Physics - Theory · Physics 2019-10-30 B. Chauhan , S. Kumar , R. P. Malik

We show the existence of some new local, covariant and continuous symmetries for the BRST invariant Lagrangian density of a free two ($1 + 1$)-dimensional (2D) Abelian U(1) gauge theory in the framework of superfield formalism. The Noether…

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

We derive absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the 4D free Abelian 2-form gauge theory by exploiting the superfield approach to BRST formalism. The antisymmetric tensor gauge…

High Energy Physics - Theory · Physics 2011-05-26 R. P. Malik

We discuss the discrete as well as the continuous symmetry transformations for a three $(2+1)$-dimensional $(3D)$ combined system of the free Abelian 1-form and 2-form gauge theories within the framework of Becchi-Rouet-Stora-Tyutin (BRST)…

High Energy Physics - Theory · Physics 2026-01-12 R. Kumar , R. P. Malik

The derivation of the nilpotent (anti-)BRST symmetries for the matter fields, present in any arbitrary interacting gauge theory, has been an long-standing problem in the framework of superfield approach to BRST formalism. These nilpotent…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

Using superspace unitary operator formalism, we derive various (anti-)BRST symmetry transformations explicitly for the non-Abelian 2-form gauge theories. We introduce a new Lagrangian with a coupling of matter fields not only with 1-from…

High Energy Physics - Theory · Physics 2018-03-14 Dheeraj Shukla , Kuldeep Kumar

A constrained BRST-BV Lagrangian formulation for totally symmetric massless HS fields in a $d$-dimensional Minkowski space is extended to a non-minimal constrained BRST-BV Lagrangian formulation by using a non-minimal BRST operator…

High Energy Physics - Theory · Physics 2021-03-05 Čestmir Burdík , Alexander A. Reshetnyak

A $\theta$-local formulation of superfield Lagrangian quantization in non-Abelian hypergauges is proposed on the basis of an extension of general reducible gauge theories to special superfield models with a Grassmann parameter $\theta$. We…

High Energy Physics - Theory · Physics 2009-11-11 D. M. Gitman , P. Yu. Moshin , A. A. Reshetnyak

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 derive nilpotent and absolutely anticommuting (anti-)co-BRST symmetry transformations for the bosonized version of (1+1)-dimensional (2D) vector Schwinger model. These symmetry transformations turn out to be the analogue of co-exterior…

High Energy Physics - Theory · Physics 2015-01-06 Saurabh Gupta

In this paper we consider non-commutativity that arises from T-duality of bosonic coordinates of type II superstring in presence of coordinate dependent Ramond-Ramond field. Action with such choice of the background fields is not…

High Energy Physics - Theory · Physics 2024-01-24 D. Obric , B. Nikolic

We consider (1+1) dimensional theory for a single self-dual chiral boson as classical model for gauge theory. Using Batalin-Fradkin-Vilkovisky (BFV) technique the nilpotent BRST and anti BRST symmetry transformations for this theory have…

High Energy Physics - Theory · Physics 2011-12-05 Sudhaker Upadhyay , Bhabani Prasad Mandal

In this work, we study (anti-)self duality conditions in unconventional conformal supersymmetry. We focus on a theory constructed in a Townsend-MacDowell-Mansouri form for an $SU(2,2|N)$ gauge connection with matter fields in the adjoint…

High Energy Physics - Theory · Physics 2024-01-17 Pedro D. Alvarez , Cristóbal Corral , Jorge Zanelli

We analyze the Hamiltonian structure of an extended chiral bosons theory in which the self-dual constraint is introduced via a control $\alpha$-parameter. The system has two second-class constraints in the non-critical regime and an…

High Energy Physics - Theory · Physics 2024-01-15 Gabriella V. Ambrosio , Cleber N. Costa , Paulo R. F. Alves , Jorge Ananias Neto , Ronaldo Thibes

We discuss both the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the cosmological Friedmann-Robertson-Walker (FRW) model with a differential gauge condition in the extended phase space. In…

High Energy Physics - Theory · Physics 2022-11-29 B. Chauhan

In this paper we will consider noncommutativity that arises from bosonic T-dualization of type II superstring in presence of Ramond-Ramond (RR) field, which linearly depends on the bosonic coordinates $x^\mu$. The derivative of the RR field…

High Energy Physics - Theory · Physics 2024-01-24 Bojan Nikolic , Branislav Sazdovic , Danijel Obric

We study the Lagrangian description of chiral bosons, p-form gauge fields with (anti-)self-dual gauge field strengths, in D=2p+2 dimensional spacetime of nontrivial topology. We show that the manifestly Lorentz and diffeomorphism invariant…

High Energy Physics - Theory · Physics 2015-06-22 Igor Bandos
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