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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

In this Letter we consider the perturbative quantum gravity on the super-manifold which remains invariant under absolutely anticommuting BRST and anti-BRST transformations. In addition to that the theory posses one more symmetry known as…

High Energy Physics - Theory · Physics 2013-06-10 Sudhaker Upadhyay

A simple theory of the covariant derivatives, deformed derivatives and relative covariant derivatives of multivector and multiform fields is presented using algebraic and analytical tools developed in previous papers.

Mathematical Physics · Physics 2007-05-23 V. V. Fernandez , A. M. Moya , E. Notte-Cuello , W. A. Rodrigues

We reformulate in a systematic way the conversional approach in its most general and compact form. We present a new definition of generalized Dirac bracket directly in terms of the super-observables commuting with the basic BFV-BRST charge.

High Energy Physics - Theory · Physics 2018-11-05 Igor A. Batalin , Peter M. Lavrov

The BRST quantization of matrix Chern-Simons theory is carried out, the symmetries of the theory are analysed and used to constrain the form of the effective action.

High Energy Physics - Theory · Physics 2007-05-23 Etera R. Livine , Lee Smolin

We discuss the BRST cohomologies of the invariants associated with the description of classical and quantum gravity in four dimensions, using the Ashtekar variables. These invariants are constructed from several BRST cohomology sequences.…

High Energy Physics - Theory · Physics 2009-10-22 Lay Nam Chang , Chopin Soo

A differential calculus of the first order over multi-braided quantum groups is developed. In analogy with the standard theory, left/right-covariant and bicovariant differential structures are introduced and investigated. Furthermore,…

q-alg · Mathematics 2008-02-03 Mico Durdevic

A framework for background independent open-string field theory is proposed. The approach involves using the BV formalism -- in a way suggested by recent developments in closed-string field theory -- to implicitly define a gauge invariant…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

We construct a covariant quantum superstring, extending Berkovits' approach by introducing new ghosts to relax the pure spinor constraints. The central charge of the underlying Kac-Moody algebra, which would lead to an anomaly in the BRST…

High Energy Physics - Theory · Physics 2009-11-07 P. A. Grassi , G. Policastro , M. Porrati , P. van Nieuwenhuizen

Covariant quantization of theories based on nonlinear extensions of Lie algebras in 2d is studied by using a generalized Lagrangian BRST formalism. The quantum action is constructed to be invariant under the off--shell nilpotent BRST…

High Energy Physics - Theory · Physics 2007-05-23 M. Blagojević , T. Vukašinac

The generalized version of a lower dimensional model where vector and axial vector interaction get mixed up with different weight is considered. The bosonized version of which does not posses the local gauge symmetry. An attempt has been…

High Energy Physics - Theory · Physics 2016-11-22 Anisur Rahaman , Safia Yasmin

The local and manifestly covariant Lagrangian interactions in four spacetime dimensions that can be added to a ``free'' model that describes a generic matter theory and an abelian BF theory are constructed by means of deforming the solution…

High Energy Physics - Theory · Physics 2007-05-23 C. Bizdadea , C. C. Ciobirca , E. M. Cioroianu , S. O. Saliu , S. C. Sararu

Open groups whose generators are in arbitrary involutions may be quantized within a ghost extended framework in terms of a nilpotent BFV-BRST charge operator. Previously we have shown that generalized quantum Maurer-Cartan equations for…

High Energy Physics - Theory · Physics 2019-08-17 Igor Batalin , Robert Marnelius

The general BRST-BFV analysis of anomaly in the string theory coupled to background fields is carried out. An exact equation for c-valued symbol of anomaly operator is found and structure of its solutions is studied.

High Energy Physics - Theory · Physics 2009-10-28 I. L. Buchbinder , B. R. Mistchuk , V. D. Pershin

{ This letter discusses the BRST cohomology of superparticles type I and II. It was used an extended super-space to construct $S0(9,1)$ superparticle actions that lead to super-wave functions whose spinor components satisfy $S0(9,1)$…

High Energy Physics - Theory · Physics 2008-02-03 J. L Vazquez-Bello

We study some reparametrization invariant theories in context of the BRST-co-BRST quantization method. The method imposes restrictions on the possible gauge fixing conditions and leads to well defined inner product states through a gauge…

High Energy Physics - Theory · Physics 2009-10-30 Geza Fulop

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

We propose an extended BRST invariant Lagrangian quantization scheme of general gauge theories based on explicit realization of "modified triplectic algebra" in general coordinates. All the known Lagrangian quantization schemes based on the…

High Energy Physics - Theory · Physics 2007-05-23 B. Geyer , P. Lavrov , A. Nersessian

The SOSO action is an irreducible action for a complex massive superspin one half representation of SUSY, made from spin one half superfields. The theory requires `BRST recycling' to find appropriate nilpotent BRST transformations. A…

High Energy Physics - Theory · Physics 2015-06-10 John A. Dixon

In this short note we perform covariant Hamiltonian analysis of F(R)-gravity.

General Relativity and Quantum Cosmology · Physics 2020-08-19 J. Kluson , B. Matous
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