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By undertaking additional analyses postponed in a previous paper, we complete our construction of a manifestly supersymmetric gauge-covariant regularization of supersymmetric chiral gauge theories. We present the following: An evaluation of…

High Energy Physics - Theory · Physics 2009-10-31 Takuya Hayashi , Yoshihisa Ohshima , Kiyoshi Okuyama , Hiroshi Suzuki

We derive the off-shell nilpotent (fermionic) (anti-)BRST symmetry transformations by exploiting the (anti-)chiral superfield approach (ACSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism for the interacting Abelian 1-form gauge theories…

High Energy Physics - Theory · Physics 2018-01-30 B. Chauhan , S. Kumar , R. P. Malik

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…

High Energy Physics - Theory · Physics 2013-09-18 Rabin Banerjee , Biswajit Paul , Sudhaker Upadhyay

In this informal review for non-specalists we discuss the construction of maximally supersymmetric gauge theories that arise on the worldvolumes branes in String Theory and M-Theory. Particular focus is made on the relatively recent…

High Energy Physics - Theory · Physics 2015-06-04 Neil Lambert

An inspection of the precise geometric constructions underlying fundamental notions in quantum gauge field theories sheds light on various aspects which tend to be obscured in the usual formalisms. Revising the notions of mutually…

Mathematical Physics · Physics 2016-12-21 Daniel Canarutto

We propose a modification of the gauge-fixing procedure in the Lagrangian method of superfield BRST quantization for general gauge theories which simultaneously provides a natural generalization of the well-known BV quantization scheme as…

High Energy Physics - Theory · Physics 2009-10-31 Bodo Geyer , Petr M. Lavrov , Pavel Yu. Moshin

In this paper, we present a purely algebraic formulation of higher gauge theory and gauged sigma models based on the abstract theory of graded commutative algebras and their morphisms. The formulation incorporates naturally BRST symmetry…

High Energy Physics - Theory · Physics 2017-06-28 Roberto Zucchini

We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the dynamical non-Abelian 2-form gauge theory within the framework of geometrical superfield…

High Energy Physics - Theory · Physics 2014-11-21 R. P. Malik

In this paper the novel features of Yokoyama gaugeon formalism are stressed out for the theory of perturbative quantum gravity in Einstein curved spacetime. The quantum gauge transformations for the theory of perturbative gravity are…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Sudhaker Upadhyay

It has recently been shown that the Field Antifield quantization of anomalous irreducible gauge theories with closed algebra can be represented in a BRST superspace where the quantum action at one loop order, including the Wess Zumino term,…

High Energy Physics - Theory · Physics 2016-09-06 Everton M. C. Abreu , Nelson R. F. Braga

M-theory has different global supersymmetry structures in its various dual incarnations, as characterized by the M-algebra in 11D, the type IIA, type-IIB, heterotic, type-I extended supersymmetries in 10D, and non-Abelian supersymmetries in…

High Energy Physics - Theory · Physics 2009-10-31 I. Bars , C. Deliduman , D. Minic

We give a solution to the classical master equation of the Hamiltonian BRST-anti-BRST quantization scheme in the case of reducible gauge theories. Our approach does not require redefining constraints or reducibility functions. Classical…

Mathematical Physics · Physics 2014-09-26 A. V. Bratchikov

Yang-Mills models with compact gauge group coupled to matter fields are considered. The general tools developed in a companion paper are applied to compute the local cohomology of the BRST differential $s$ modulo the exterior spacetime…

High Energy Physics - Theory · Physics 2008-11-26 G. Barnich , F. Brandt , M. Henneaux

We classify all the first-order vertices of gravity consistently coupled to a system of 2-form gauge fields by computing the local BRST cohomology H(s|d) in ghost number 0 and form degree n. The consistent deformations are at most linear in…

High Energy Physics - Theory · Physics 2009-10-31 Xavier Bekaert , Bernard Knaepen , Christiane Schomblond

We illustrate the cosmological Friedmann-Robertson-Walker (FRW) models realized as gauge theory in the extended configuration space with its Becchi-Rouet-Stora-Tyutin (BRST) invariance upto total derivative. To investigate the model in…

General Relativity and Quantum Cosmology · Physics 2015-10-01 Sudhaker Upadhyay

We derive the gaugeon formalism of the Kalb-Ramond field theory, a reducible gauge theory, which discusses the quantum gauge freedom. In gaugeon formalism, theory admits quantum gauge symmetry which leaves the action form-invariant. The…

General Physics · Physics 2017-04-26 Manoj Kumar Dwivedi

A method for the calculation of the BRST cohomology, recently developed for 2D gravity theory and the bosonic string in the Beltrami parametrization,is generalised to the superstring theories quantized in super-Beltrami parametrization.

High Energy Physics - Theory · Physics 2011-04-12 Liviu Tătaru , Ion V. Vancea

We give a brief account of the recently proposed N=3 superfield formulation of the N=6, 3D superconformal theory of Aharony et al (ABJM) describing a low-energy limit of the system of multiple M2-branes on the AdS_4 x S^7/Z_k background.…

High Energy Physics - Theory · Physics 2010-07-19 Evgeny Ivanov

For a wide class of mechanical systems, invariant under gauge transformations with higher (arbitrary) order time derivatives of gauge parameters, the equivalence of Lagrangian and Hamiltonian BRST formalisms is proved. It is shown that the…

High Energy Physics - Theory · Physics 2015-06-26 Khazret S. Nirov

The recent developments in string theory suggest that the space-time coordinates should be generalized to non-commuting matrices. Postulating this suggestion as the fundamental geometrical principle, we formulate a candidate for covariant…

High Energy Physics - Theory · Physics 2009-10-30 Christiaan Hofman , Jae-Suk Park
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