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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

Totally symmetric continuous spin field propagating in (A)dS is studied. Lagrangian gauge invariant formulation for such field is developed. Lagrangian of continuous spin field is constructed in terms of double traceless tensor fields,…

High Energy Physics - Theory · Physics 2017-04-05 R. R. Metsaev

We construct a Lagrangian description of irreducible half-integer higher-spin representations of the Poincare group with the corresponding Young tableaux having two rows, on a basis of the BRST approach. Starting with a description of…

High Energy Physics - Theory · Physics 2019-04-04 P. Yu. Moshin , A. A. Reshetnyak

We show that it is possible to formulate the most general first-class gauge algebra of the operator formalism by only using BRST-invariant constraints. In particular, we extend a previous construction for irreducible gauge algebras to the…

High Energy Physics - Theory · Physics 2008-11-26 I. A. Batalin , K. Bering

A constrained BRST-BV Lagrangian formulation for totally symmetric massless HS fields in a $d$-dimensional Minkowski space is extended to a non-minimal constrained BRST-BV Lagrangian formulation by using a non-minimal BRST operator…

High Energy Physics - Theory · Physics 2021-03-05 Čestmir Burdík , Alexander A. Reshetnyak

We discuss the continuous and infinitesimal gauge, supergauge, reparameterization, nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetries and derive corresponding nilpotent charges for the one (0+1)-dimensional (1D) massive…

High Energy Physics - Theory · Physics 2020-08-25 A. Tripathi , B. Chauhan , A. K. Rao , R. P. Malik

Following our recent study [P.Yu. Moshin, A.A. Reshetnyak, Nucl. Phys. B 888 (2014) 92], we discuss the notion of finite BRST-antiBRST transformations, with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting (both global and…

High Energy Physics - Theory · Physics 2014-12-11 Pavel Yu. Moshin , Alexander A. Reshetnyak

We give a brief overview of the BRST approach to the gauge invariant Lagrangian formulation for free massive higher-spin bosonic fields focusing on two specific aspects. First, the theory is considered in four dimensional flat space in…

High Energy Physics - Theory · Physics 2025-05-19 I. L. Buchbinder , S. A. Fedoruk , V. A. Krykhtin

We extend the Bardakci-Thorn (BT) worldsheet formalism to supersymmetric non-abelian gauge theory. Our method covers the cases of N =1,2,4 extended supersymmetry. This task requires the introduction of spinor valued Grassmann variables on…

High Energy Physics - Theory · Physics 2010-04-05 Skuli Gudmundsson , Charles B. Thorn , Tuan A. Tran

We briefly review some modern developments in higher spin field theory and their links with superstring theory. The analysis is based on various BRST constructions allowing to derive the Lagrangians for massive and massless higher spin…

High Energy Physics - Theory · Physics 2014-11-18 X. Bekaert , I. L. Buchbinder , A. Pashnev , M. Tsulaia

Lagrangian descriptions of irreducible and reducible integer higher-spin representations of the Poincare group subject to a Young tableaux $Y[\hat{s}_1,\hat{s}_2]$ with two columns are constructed within a metric-like formulation in a…

High Energy Physics - Theory · Physics 2017-03-21 Alexander A. Reshetnyak

In this work we investigate connections between superalgebras and their realizations in terms of particles, branes and field theory models. We start from Poincar\'e superalgebras with brane charges and study its representations. The…

High Energy Physics - Theory · Physics 2007-05-23 Igor Rudychev

This paper is devoted to the study of closed string field theory in two dimensions. We compare two different approaches: BRST closed string field theory and the string effective Lagrangian. We show that the quadratic action and the pole…

High Energy Physics - Theory · Physics 2009-10-28 Julian Lee , Branko Urosevic

We discuss some aspects of the topological features of a non-interacting two (1+1)-dimensional Abelian gauge theory in the framework of superfield formalism. This theory is described by a BRST invariant Lagrangian density in the Feynman…

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

We construct a supersymmetric extension of three-dimensional Newton-Cartan gravity by gauging a super-Bargmann algebra. In order to obtain a non-trivial supersymmetric extension of the Bargmann algebra one needs at least two supersymmetries…

High Energy Physics - Theory · Physics 2015-06-16 Roel Andringa , Eric A. Bergshoeff , Jan Rosseel , Ergin Sezgin

Study of gauge symmetry is carried over the different interacting and noninteracting field theoretical models through a prescription based on lagrangian formulation. It is found that the prescription is capable of testing whether a given…

High Energy Physics - Theory · Physics 2014-04-17 Safia Yasmin , Anisur Rahaman

A Lagrangian formulation is given extending to N = 1 supersymmetry the motion of a charged point particle with spin in a non-abelian external field. The classical formulation is constructed for any external static non-abelian SU(N) gauge…

High Energy Physics - Theory · Physics 2017-02-10 Michaël Fanuel , Jan Govaerts , Gabriel Y. H. Avossevou , Anselme F. Dossa

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

It is outlined how deformations of field theoretical rigid symmetries can be constructed and classified by cohomological means in the extended antifield formalism. Special attention is devoted to deformations referring only to a subset of…

High Energy Physics - Theory · Physics 2015-06-26 Friedemann Brandt

We review the higher gauge symmetries in double and exceptional field theory from the viewpoint of an embedding tensor construction. This is based on a (typically infinite-dimensional) Lie algebra $\frak{g}$ and a choice of representation…

High Energy Physics - Theory · Physics 2021-07-28 Olaf Hohm , Henning Samtleben