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The Einstein-Hilbert action in the context of Higher derivative theories is considered for finding out their BRST symmetries. Being a constraint system, the model is transformed in the minisuperspace language with the FRLW background and…

高能物理 - 理论 · 物理学 2016-07-19 Sudhaker Upadhyay , Biswajit Paul

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

Quantum theories of gravity are generally expected to have some degree of non-locality, with familiar local physics emerging only in a particular limit. Perturbative quantum gravity around backgrounds with isometries and compact Cauchy…

高能物理 - 理论 · 物理学 2026-02-23 Molly Kaplan , Donald Marolf , Xuyang Yu , Ying Zhao

A dynamical non-Abelian 2-form gauge theory (with B \wedge F term) is endowed with the "scalar" and "vector" gauge symmetry transformations. In our present endeavor, we exploit the latter gauge symmetry transformations and perform the…

高能物理 - 理论 · 物理学 2011-08-03 R. Kumar , R. P. Malik

In this thesis quantum gauge theories are considered in the framework of local, causal perturbation theory. Gauge invariance is described in terms of the BRS formalism. Local interacting field operators are constructed perturbatively and…

高能物理 - 理论 · 物理学 2007-05-23 Franz-Marc Boas

A bilocal field theory having M\"{o}bius gauge invariance is proposed. In four dimensions there exists a zero momentum state of the first quantized model, which belongs to a non-trivial BRS cohomology class. A field theory lagrangian having…

高能物理 - 理论 · 物理学 2009-12-30 Takayuki Hori

We investigate all possible nilpotent symmetries for a particle on torus. We explicitly construct four independent nilpotent BRST symmetries for such systems and derive the algebra between the generators of such symmetries. We show that…

综合物理 · 物理学 2018-05-09 Vipul Kumar Pandey , Bhabani Prasad Mandal

One of the central concepts in modern theoretical physics, gauge symmetry, is typically realised by lifting a finite-dimensional global symmetry group of a given functional to an infinite-dimensional local one by extending the functional to…

高能物理 - 理论 · 物理学 2017-05-16 Athanasios Chatzistavrakidis , Andreas Deser , Larisa Jonke , Thomas Strobl

Some general formulas are derived for the solutions of a BRST quantization on inner product spaces of finite dimensional bosonic gauge theories invariant under arbitrary Lie groups. A detailed analysis is then performed of SL(2,R) invariant…

高能物理 - 理论 · 物理学 2019-08-17 Robert Marnelius , Ulrich Quaade

This article is devoted to the analysis of the gauge-fixed BRST cohomology complex for a matrix model endowed with a $U(2)$-gauge symmetry. After a brief introduction on the BV construction and the gauge-fixing procedure in the setting of…

数学物理 · 物理学 2019-09-12 Roberta A. Iseppi

We present an analysis on the BRST symmetry transformations of the Horava theory under the BFV quantization, both in the nonprojectable and projectable cases. We obtain that the BRST transformations are intimately related to a particular…

高能物理 - 理论 · 物理学 2023-03-13 Jorge Bellorin , Claudio Borquez , Byron Droguett

We determine the equations which govern the gauge symmetries of worldsheets with local supersymmetry of arbitrary rank $(N,N')$, and their possible anomalies. Both classical and ghost conformally invariant multiplets of the left or right…

高能物理 - 理论 · 物理学 2009-10-30 Laurent Baulieu , Nobuyoshi Ohta

We show that any BRST invariant quantum action with open or closed gauge algebra has a corresponding local background gauge invariance. If the BRST symmetry is anomalous, but the anomaly can be removed in the antifield formalism, then the…

高能物理 - 理论 · 物理学 2009-10-28 Kostas Skenderis

We present a simple unifying gauge theoretical formulation of gravitational theories in two dimensional spacetime. This formulation includes the effects of a novel matter-gravity coupling which leads to an extended de Sitter symmetry…

高能物理 - 理论 · 物理学 2009-10-22 Daniel Cangemi , Gerald Dunne

For the St$\ddot u$ckelberg-modified massive Abelian 3-form theory in any arbitrary D-dimension of spacetime, we show that its classical gauge symmetry transformations are generated by the first-class constraints. We establish that the…

高能物理 - 理论 · 物理学 2024-09-17 A. K. Rao , R. P. Malik

We demonstrate that the celebrated St$\ddot u$ckelberg formalism gets modified in the case of a massive four (3+1)-dimensional (4D) Abelian 2-form theory due to the presence of a self-duality discrete symmetry in the theory. The latter…

高能物理 - 理论 · 物理学 2023-07-31 A. K. Rao , R. P. Malik

The quantum action principle of renormalisation theory is applied to the antibracket-antifield formalism for Hamiltonian systems. General results on the local BRST cohomology allow one to prove that the anomalies appear in the time…

高能物理 - 理论 · 物理学 2009-10-22 G. Barnich

Gauge $p$-forms in diverse dimensions are ubiquitous in supergravity and string theory. This work reviews novel covariant formulations designed to generate arbitrary interacting duality-invariant or chiral (self-dual) $p$-form theories in…

高能物理 - 理论 · 物理学 2025-04-03 Sergei M. Kuzenko

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

We work out the description of the gauge symmetry of unimodular gravity in the constrained Hamiltonian formalism. In particular, we demonstrate how the transversality conditions restricting the diffeomorphism parameters emerge from the…

高能物理 - 理论 · 物理学 2022-06-07 I. Yu. Karataeva , S. L. Lyakhovich