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Two different massive gauge invariant spin-one theories in $3+1$ dimensions, one Stuckelberg formulation and the other `$B^{\wedge}F$' theory, with Kalb-Ramond field are shown to be related by duality. This is demonstrated by gauging the…

High Energy Physics - Theory · Physics 2009-10-30 E. Harikumar , M. Sivakumar

Starting from a recently proposed abelian topological model in (2+1) dimensions, we use the method of the consistent deformations to prove that a topologically massive model involving the Kalb-Ramond two form field does not admit a…

High Energy Physics - Theory · Physics 2007-05-23 D. M. Medeiros , R. R. Landim , C. A. S. Almeida

We have considered the most general gauge invariant five-dimensional action of a second rank antisymmetric Kalb-Ramond tensor gauge theory, including a topological term of the form $\epsilon^{ABLMN}B_{AB}H_{LMN}$ in a Randall-Sundrum…

High Energy Physics - Theory · Physics 2009-11-10 Biswarup Mukhopadhyaya , Siddhartha Sen , Somasri Sen , Soumitra SenGupta

A gauge invariant formulation for the massive axion is considered. The axion acquires mass through a topological term which couples a (pseudo)scalar and a third rank antisymmetric tensor. Duality, local and canonical equivalences with the…

High Energy Physics - Theory · Physics 2009-10-31 P. J. Arias , A. Khoudeir

By dimensional reduction of a massive BF theory, a new topological field theory is constructed in (2+1) dimensions. Two different topological terms, one involving a scalar and a Kalb-Ramond fields and another one equivalent to the…

High Energy Physics - Theory · Physics 2019-08-17 Deusdedit M. Medeiros , R. R. Landim , C. A. S. Almeida

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

In the framework of superfield formalism, we demonstrate the existence of a new local, covariant, continuous and nilpotent (dual-BRST) symmetry for the BRST invariant Lagrangian density of a self-interacting two ($1 + 1$)-dimensional (2D)…

High Energy Physics - Theory · Physics 2011-07-19 R. P. Malik

Starting from a recently proposed Abelian topological model in (2+1) dimensions, which involve the Kalb-Ramond two form field, we study a non-Abelian generalization of the model. An obstruction for generalization is detected. However we…

High Energy Physics - Theory · Physics 2009-11-07 D. M. Medeiros , R. R. Landim , C. A. S. Almeida

We show that a U(1) gauge theory defined in the configuration space for closed p-branes yields the gauge theory of a massless rank-(p+1) antisymmetric tensor field and the Stueckelberg formalism for a massive vector field.

High Energy Physics - Theory · Physics 2016-09-06 Shinichi Deguchi , Tadahito Nakajima , Hideomi Totsuka Atomic

We apply a superspace formulation to the four-dimensional gauge theory of a massless Abelian antisymmetric tensor field of rank 2. The theory is formulated in a six-dimensional superspace using rank-2 tensor, vector and scalar superfields…

High Energy Physics - Theory · Physics 2016-12-21 Shinichi Deguchi , Bhabani Prasad Mandal

Topological euclidean gravity is built in eight dimensions for manifolds with $Spin(7) \subset SO(8)$ holonomy. In a previous work, we considered the construction of an eight-dimensional topological theory describing the graviton and one…

High Energy Physics - Theory · Physics 2009-11-10 Laurent Baulieu , Marc Bellon , Alessandro Tanzini

We consider Abelian tensor hierarchy in four-dimensional ${\cal N}=1$ supergravity in the conformal superspace formalism, where the so-called covariant approach is used to antisymmetric tensor fields. We introduce $p$-form gauge superfields…

High Energy Physics - Theory · Physics 2016-10-12 Shuntaro Aoki , Tetsutaro Higaki , Yusuke Yamada , Ryo Yokokura

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 develop the frame-like formulation of massive bosonic higher spins fields in the case of 3-dimensional $(A)dS$ space with the arbitrary cosmological constant. The formulation is based on gauge-invariant description by involving the…

High Energy Physics - Theory · Physics 2015-06-05 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

We construct the frame-like gauge-invariant Lagrangian formulation for massive fermionic arbitrary spin fields in three-dimensional $AdS$ space. The Lagrangian and complete set of gauge transformations are obtained. We also develop the…

High Energy Physics - Theory · Physics 2015-06-22 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

The transformation properties of a Kalb-Ramond field are those of a gauge potential. However, it is not clear what is the group structure to which these transformations are associated. In this paper, we complete a program started in…

High Energy Physics - Theory · Physics 2009-11-10 Marcelo Botta Cantcheff

We employ the Dirac procedure to quantize the self-dual massive Kalb-Ramond-Klein-Gordon model in $2+1$ dimensional spacetimes. The canonical fields are expressed in terms of $2$-surfaces and signed points, ensuring the automatic…

High Energy Physics - Theory · Physics 2025-05-29 E. Iñiguez , M. Freire , L. Leal , E. Contreras

A superspace with manifest T-duality including Ramond-Ramond gauge fields is presented. The superspace is defined by the double nondegenerate super-Poincare algebras where Ramond-Ramond charges are introduced by central extension. This…

High Energy Physics - Theory · Physics 2015-06-23 Machiko Hatsuda , Kiyoshi Kamimura , Warren Siegel

Three-dimensional field theories with N=3 and N=4 supersymmetries are considered in the framework of the harmonic-superspace approach. Analytic superspaces of these supersymmetries are similar; however, the geometry of gauge theories with…

High Energy Physics - Theory · Physics 2009-10-31 B. M. Zupnik

We thereby prove that a large class of topologically massive theories of the Cremmer-Scherk-Kalb-Ramond-type in any $d$ dimensions corresponds to gauge non-invariant first-order theories that can be interpreted as self-dual models.

High Energy Physics - Theory · Physics 2014-11-18 M. Botta Cantcheff
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