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Related papers: Superfield BRST Charge and the Master Action

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We give a superfield formulation of the path integral on an arbitrary curved phase space, with or without first class constraints. Canonical tranformations and BRST transformations enter in a unified manner. The superpartners of the…

High Energy Physics - Theory · Physics 2009-10-31 I. A. Batalin , K. Bering , P. H. Damgaard

The Faddeev model is a second class constrained system. Here we construct its nilpotent BRST operator and derive the ensuing manifestly BRST invariant Lagrangian. Our construction employs the structure of Stuckelberg fields in a nontrivial…

High Energy Physics - Theory · Physics 2009-11-11 Soon-Tae Hong , Antti J. Niemi

In this paper we propose a new supersymmetric extension of conformal mechanics. The Grassmannian variables that we introduce are the basis of the forms and of the vector-fields built over the symplectic space of the original system. Our…

High Energy Physics - Theory · Physics 2015-06-26 E. Deotto , G. Furlan , E. Gozzi

We present BRST gauge fixing approach to quantum mechanics in phase space. The theory is obtained by $\hbar$-deformation of the cohomological classical mechanics described by d=1, N=2 model. We use the extended phase space supplied by the…

High Energy Physics - Theory · Physics 2007-05-23 A. K. Aringazin

We show that the specific operators V^a appearing in the triplectic formalism can be viewed as the anti-Hamiltonian vector fields generated by a second rank irreducible Sp(2) tensor. This allows for an explicit realization of the triplectic…

High Energy Physics - Theory · Physics 2009-11-07 Bodo Geyer , Petr Lavrov , Armen Nersessian

A superfield version on superspace $(x^\mu,\theta^a)$ is proposed for the $Sp(2)$-- covariant Lagrangian quantization of general gauge theories. The BRST- and antiBRST- transformations are realized on superfields as supertranslations in the…

High Energy Physics - Theory · Physics 2009-10-28 P. M. Lavrov

We derive the off-shell nilpotent and absolutely anticommuting (anti-)BRST symmetry transformations for any arbitrary D-dimensional St$\ddot u$ckelberg-modified massive Abelian 3-form theory within the framework of augmented version of…

High Energy Physics - Theory · Physics 2022-08-24 A. K. Rao , R. P. Malik

Using Berkovits' Superstring Filed Theory action including the Ramond sector, we calculate the contribution to this action coming from the tachyon and massless fermions from both $GSO$ sectors. Some features of the action are discussed in…

High Energy Physics - Theory · Physics 2009-11-10 Luciano Barosi

Lagragian quantization rules for general gauge theories are proposed on a basis of a superfield formulation of the standard BRST symmetry. Independence of the $S$-matrix on a choice of the gauge is proved. The Ward identities in terms of…

High Energy Physics - Theory · Physics 2015-06-26 P. M. Lavrov , P. Yu. Moshin , A. A. Reshetnyak

A superfield algorithm for master actions of a class of gauge field theories including topological ones in arbitrary dimensions is presented generalizing a previous treatment in two dimensions. General forms for master actions in superspace…

High Energy Physics - Theory · Physics 2016-11-23 Igor Batalin , Robert Marnelius

By integrating out the heavy fields in type II or heterotic string field theory one can construct the effective action for the light fields. This effective theory inherits all the algebraic structures of the parent theory and the effective…

High Energy Physics - Theory · Physics 2017-03-08 Ashoke Sen

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

In the framework of superfield formalism, we discuss some aspects of the cohomological features of a two (1+1)-dimensional free Abelian gauge theory described by a Becchi-Rouet-Stora-Tyutin (BRST) invariant Lagrangian density. We…

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

In this paper a new supersymmetric extension of conformal mechanics is put forward. The beauty of this extension is that all variables have a clear geometrical meaning and the super-Hamiltonian turns out to be the Lie-derivative of the…

High Energy Physics - Theory · Physics 2009-11-07 E. Deotto , G. Furlan , E. Gozzi

The structure of equivariant cohomology in non-abelian localization formulas and topological field theories is discussed. Equivariance is formulated in terms of a nilpotent BRST symmetry, and another nilpotent operator which restricts the…

High Energy Physics - Theory · Physics 2009-10-28 Antti J. Niemi , O. Tirkkonen

We give a solution to the classical master equation of D=11 supergravity in the conventional component formulation. Based on a careful investigation of the symmetry algebra including terms proportional to the equation of motion, we…

High Energy Physics - Theory · Physics 2016-07-06 Yoji Michishita

We give an introduction to rigid supersymmetry, supergravity and superspace by considering a quantum mechanical model. We analyze the constraints in superspace in this simplified model, and compare the Hamiltonian and Lagrangian BRST…

High Energy Physics - Theory · Physics 2007-05-23 Peter van Nieuwenhuizen

A previously proposed generalized BRST quantization on inner product spaces for second class constraints is further developed through applications. This BRST method involves a conserved generalized BRST charge Q which is not nilpotent but…

High Energy Physics - Theory · Physics 2009-10-30 Robert Marnelius , Ikuo S. Sogami

The exceptional superalgebra $\D21a$ has been classified as a candidate conformal supersymmetry algera in two dimensions. We propose an alternative interpretation of it as an extended BFV-BRST quantisation superalgebra in 2D ($D(2,1;1)…

High Energy Physics - Theory · Physics 2008-11-26 S P Corney , P D Jarvis , I Tsohantjis , D S McAnally

We discuss the complete sets of the off-shell nilpotent (i.e. s^2_{(a)b} = 0) and absolutely anticommuting (i.e. s_b s_{ab} + s_{ab} s_b = 0) Becchi-Rouet-Stora-Tyutin (BRST) (s_b) and anti-BRST (s_{ab}) symmetries for the (3+1)-dimensional…

High Energy Physics - Theory · Physics 2017-06-20 R. Kumar , S. Krishna
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