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We give an example of how conventional gauging methods obstruct a systematic analysis of gauged supergravities. We discuss how the embedding tensor formalism deals with these problems and argue that the gauge algebra related to the…

高能物理 - 理论 · 物理学 2011-06-09 Frederik Coomans , Jan De Rydt , Antoine Van Proeyen

Starting from a solution to the classical Batalin-Vilkovisky master equation,an extended solution to an extended master equation is constructed by coupling all the observables, the anomaly candidates and the generators of global symmetries.…

高能物理 - 理论 · 物理学 2007-05-23 Glenn Barnich

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

A general solution of the Batalin-Vilkovisky master equation was formulated in terms of generalized fields. Recently, a superfields approach of obtaining solutions of the Batalin-Vilkovisky master equation is also established. Superfields…

高能物理 - 理论 · 物理学 2009-11-10 Omer F. Dayi

Recently proposed forms for gauge transformations with finite parameters in double field theory are discussed and problematic issues are identified. A new form for finite gauge transformations is derived that reveals the underlying gerbe…

高能物理 - 理论 · 物理学 2015-05-20 C M Hull

We make a systematic development of the non-Abelian formulation of two-form gauge fields with topological coupling with the Yang-Mills one-form connection. An analysis of the gauge structure, reducibility conditions and physical degrees of…

高能物理 - 理论 · 物理学 2007-05-23 R. Amorim , J. Barcelos-Neto

We consider the problem of covariant gauge-fixing in the most general setting of the field-antifield formalism, where the action W and the gauge-fixing part X enter symmetrically and both satisfy the Quantum Master Equation. Analogous to…

高能物理 - 理论 · 物理学 2008-11-26 I. A. Batalin , K. Bering , P. H. Damgaard

In the context of algebraic renormalization, the extended antifield formalism is used to derive the general forms of the anomaly consistency condition and of the Callan-Symanzik equation for generic gauge theories. A local version of the…

高能物理 - 理论 · 物理学 2016-09-06 Glenn Barnich

Using the Non-Abelian Batalin-Vilkovisky formalism introduced recently, we present a generalization of the Yang-Mills gauge transformations , to include antisymmetric tensor fields as gauge bosons. The Freedman-Townsend transformation for…

高能物理 - 理论 · 物理学 2007-05-23 Jorge Alfaro

We investigate the background field method with the Batalin-Vilkovisky formalism, to generalize known results, study parametric completeness and achieve a better understanding of several properties. In particular, we study renormalization…

高能物理 - 理论 · 物理学 2014-02-12 Damiano Anselmi

Generalisations of geometry have emerged in various forms in the study of field theory and quantization. This mini-review focuses on the role of higher geometry in three selected physical applications. After motivating and describing some…

高能物理 - 理论 · 物理学 2023-05-24 Athanasios Chatzistavrakidis

An extension of the Field-Antifield formalism to treat anomalous gauge theories with a closed, irreducible classical gauge algebra is proposed. Introducing extra degrees of freedom, we construct the gauge transformations for these new…

高能物理 - 理论 · 物理学 2016-08-14 Joaquim Gomis , Jordi París

We generalize the BRST transformations in Abelian rank-2 tensor field theory by allowing the parameter to be finite and field dependent and show that such transformations play crucial role in studying the Abelian 2-form gauge theory in…

高能物理 - 理论 · 物理学 2013-11-26 Sudhaker Upadhyay , Bhabani Prasad Mandal

We reformulate gauge theories in analogy with the vierbein formalism of general relativity. More specifically, we reformulate gauge theories such that their gauge dynamical degrees of freedom are local fields that transform linearly under…

高能物理 - 理论 · 物理学 2016-11-23 Daniel J. H. Chung , Ran Lu

The Batalin-Vilkovisky (BV) formalism is a powerful generalization of the BRST approach of gauge theories and allows to treat more general field theories. We will see how, starting from the case of a finite dimensional configuration space,…

数学物理 · 物理学 2016-09-09 Pierre J. Clavier , Viet Dang Nguyen

We develop a general approach to constructing a deformation that describes the mapping of any dynamical system with irreducible first-class constraints in the phase space into another dynamical system with first-class constraints. It is…

高能物理 - 理论 · 物理学 2023-06-16 I. L. Buchbinder , P. M. Lavrov

A Batalin-Vilkovisky formalism is most general framework to construct consistent quantum field theories. Its mathematical structure is called {\it a Batalin-Vilkovisky structure}. First we explain rather mathematical setting of a…

辛几何 · 数学 2017-08-23 Noriaki Ikeda

We review the basic elements of the geometrical formalism for description of gauge fields and the theory of invariant connections, and their applications to the coset space dimensional reduction of Yang-Mills theories. We also discuss the…

数学物理 · 物理学 2007-05-23 Yuri A. Kubyshin

We define a group of extended non-Abelian gauge transformations for tensor gauge fields. On this group one can define generalized field strength tensors, which are transforming homogeneously with respect to the extended gauge…

高能物理 - 理论 · 物理学 2007-05-23 George Savvidy

The constrained Hamiltonian formalism is worked out for the theories where the gauge symmetry parameters are unfree, being restricted by differential equations. The Hamiltonian BFV-BRST embedding is elaborated for this class of gauge…

高能物理 - 理论 · 物理学 2020-01-15 V. A. Abakumova , I. Yu. Karataeva , S. L. Lyakhovich
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