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We discuss the use of BRST symmetry and the resulting Ward identities for orbifold gauge theories as consistency checks in an arbitrary number of dimensions. We verify that both the usual orbifold symmetry breaking and the recently proposed…

High Energy Physics - Phenomenology · Physics 2007-05-23 Thorsten Ohl , Christian Schwinn

The presence of a BRST symmetry in topologically twisted gauge theories makes a precise analysis of these theories feasible. While the global BRST symmetry suggests that correlation functions of BRST exact observables vanish, this…

High Energy Physics - Theory · Physics 2023-03-21 Georgios Korpas , Jan Manschot , Gregory W. Moore , Iurii Nidaiev

In view of a raging controversy on the topic of dual-Becchi-Rouet-Stora-Tyutin (dual-BRST/co-BRST) and anti-co-BRST symmetry transformations in the context of four (3+1)-dimensional (4D) Abelian 2-form and 2D (non-)Abelian 1-form gauge…

High Energy Physics - Theory · Physics 2015-05-30 S. Krishna , A. Shukla , R. P. Malik

The off-shell nilpotent BRST charge and the BRST invariant effective action for non-abelian BF topological theories over D-dimensional manifolds are explicitly constructed. These theories have the feature of being reducible with exactly D-3…

High Energy Physics - Theory · Physics 2016-09-06 M. I. Caicedo , R. Gianvittorio , A. Restuccia , J. Stephany

General structure of BRST-invariant constraint algebra is established, in its commutator and antibracket forms, by means of formulation of algebra-generating equations in yet more extended phase space. New ghost-type variables behave as…

High Energy Physics - Theory · Physics 2009-11-10 Igor Batalin , Igor Tyutin

The hamiltonian BRST-anti-BRST theory is developed in the general case of arbitrary reducible first class systems. This is done by extending the methods of homological perturbation theory, originally based on the use of a single resolution,…

High Energy Physics - Theory · Physics 2009-10-22 Philippe Gregoire , Marc Henneaux

In this paper we analyse a certain type of higher derivative gauge theories which are known to possess BRST symmetry associated with their higher derivative structure. We first show that these theories are also invariant under a anti-BRST…

General Physics · Physics 2014-08-29 Mozzam Khan

The BFV-BRST Hamiltonian quantization method is presented for the theories where the gauge parameters are restricted by differential equations. The general formalism is exemplified by the Maxwell-like theory of symmetric tensor field.

High Energy Physics - Theory · Physics 2021-09-28 V. A. Abakumova , S. L. Lyakhovich

We develop the BRST approach for all massless integer and half-integer higher spins in 4D Minkowski space, using the two component spinor nota- tion and develop the Lagrangian formulation for supersymmetric higher spin models. It is shown…

High Energy Physics - Theory · Physics 2016-01-27 I. L. Buchbinder , K. Koutrolikos

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…

High Energy Physics - Theory · Physics 2022-06-13 Haresh Raval , Bhabani Prasad Mandal

The supersymmetric version of the descent equations following from the Wess-Zumino consistency condition is discussed. A systematic framework in order to solve them is proposed.

High Energy Physics - Theory · Physics 2008-11-26 V. E. R. Lemes , M. Picariello , M. S. Sarandy , S. P. Sorella

We study the construction of the classical nilpotent canonical BRST charge for the nonlinear gauge algebras where a commutator (in terms of Poisson brackets) of the constraints is a finite order polynomial of the constraints. Such a…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , P. M. Lavrov

We provide the geometrical interpretation for the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry invariance of the Lagrangian density of a four (3 + 1)-dimensional (4D) interacting U(1) gauge theory within the framework of…

High Energy Physics - Theory · Physics 2011-11-18 R. P. Malik

We resume our discussion of the new orbifold-string theories of permutation-type, focusing in the present series on the algebraic formulation of the general bosonic prototype and especially the target space-times of the theories. In this…

High Energy Physics - Theory · Physics 2010-11-15 M. B. Halpern

We show that constraints on the generating functional have direct BRST-extensions in terms of nilpotent operators $\Delta$ that annihilate this generating functional, and which may be of arbitrarily high order. The free energy $F$ in the…

High Energy Physics - Theory · Physics 2015-06-26 J. Alfaro , K. Bering , P. H. Damgaard

We provide a generalization of the horizontality condition of the usual superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism to obtain the nilpotent (anti-)BRST symmetry transformations for all the fields of a four (3 +…

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

We first analyze the anti-BRST and double BRST structures of a certain higher derivative theory that has been known to possess BRST symmetry associated with its higher derivative structure. We discuss the invariance of this theory under…

High Energy Physics - Theory · Physics 2011-04-04 Mir Faizal , Mozzam Khan

An irreducible Hamiltonian BRST-anti-BRST treatment of reducible first-class systems based on homological arguments is proposed. The general formalism is exemplified on the Freedman-Townsend model.

High Energy Physics - Theory · Physics 2010-12-02 C. Bizdadea , E. M. Cioroianu , S. O. Saliu

The BRST-invariant formulation of the bosonic stretched membrane is considered. In this formulation the stretched membrane is given as a perturbation around zero-tension membranes, where the BRST-charge decomposes as a sum of a string-like…

High Energy Physics - Theory · Physics 2009-11-11 Jonas Bjornsson , Stephen Hwang

We consider the bosonized version of the Chiral Schwinger model in $(1+1)$ dimension with the generalized Faddeevian anomaly, which does not have the Lorentz covariance structure and does not have gauge invariance either. BRST embedding is…

High Energy Physics - Theory · Physics 2024-02-02 Sanjib Ghoshal , Ansur Rahaman