BRST, anti-BRST and gerbes

Bonora, L.; Malik, R. P.

doi:10.1016/j.physletb.2007.08.063

Cited by 52 publications

(145 citation statements)

References 16 publications

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“…(3.1) and (4.1) below) and it has been claimed that this type of relationship would always appear in the context of the higher p-form (p ≥ 2) Abelian gauge theories because of its intimate connection with the concept of geometrical objects called gerbes (see, e.g. [27]). …”

Section: Introductionmentioning

confidence: 99%

“…This is a completely new result because the application of the other superfield approaches [24][25][26] to the 4D Abelian 2-form gauge theories do not lead to such kind of relationship. In one of our very recent works [27], this relationship has been taken into account in the Lagrangian density itself (cf. (3.1) and (4.1) below) and it has been claimed that this type of relationship would always appear in the context of the higher p-form (p ≥ 2) Abelian gauge theories because of its intimate connection with the concept of geometrical objects called gerbes (see, e.g.…”

Section: Introductionmentioning

confidence: 99%

“…The purpose of our present investigation is to begin with the Lagrangian densities of our earlier work [27] and find out the conserved charges corresponding to the off-shell nilpotent and absolutely anticommuting (anti-)BRST symmetries of the theory. The physicality conditions, with these conserved and nilpotent (anti-)BRST charges, lead to the derivation of the Curci-Ferrari type of restriction from the constraint analysis.…”

Section: Introductionmentioning

confidence: 99%

“…First and foremost, in our earlier endeavors [27,22], we have only mentioned the anticommuting (anti-)BRST symmetry transformations but have not computed the generators of these transformations. Thus, it is essential to compute the (anti-)BRST charges and, with their helps, discuss the constraint structure of the theory.…”

Section: Introductionmentioning

confidence: 99%

“…Thus, it is essential to compute the (anti-)BRST charges and, with their helps, discuss the constraint structure of the theory. Second, it has been challenging to derive the Curci-Ferrari type restriction, obtained in [27,22], within the framework of the BRST formalism itself. In our present work, we have derived the same from the physicality criteria.…”

Section: Introductionmentioning

confidence: 99%

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Free Abelian 2-form gauge theory: BRST approach

Malik

2008

Eur. Phys. J. C

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Abstract:We discuss various symmetry properties of the Lagrangian density of a four (3 + 1)-dimensional (4D) free Abelian 2-form gauge theory within the framework of BecchiRouet-Stora-Tyutin (BRST) formalism. The present free Abelian gauge theory is endowed with a Curci-Ferrari type condition which happens to be a key signature of the 4D nonAbelian 1-form gauge theory. In fact, it is due to the above condition that the nilpotent BRST and anti-BRST symmetries of our present theory are found to be absolutely anticommuting in nature. For the present 2-form theory, we discuss the BRST, anti-BRST, ghost and discrete symmetry properties of the Lagrangian densities and derive the corresponding conserved charges. The algebraic structure, obeyed by the above conserved charges, is deduced and the constraint analysis is performed with the help of physicality criteria where the conserved and nilpotent (anti-)BRST charges play completely independent roles. These physicality conditions lead to the derivation of the above Curci-Ferrari type restriction, within the framework of BRST formalism, from the constraint analysis.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Free Abelian 2-form gauge theory: BRST approach

Malik

2008

Eur. Phys. J. C

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BRST symmetry and the convolutional double copy

Godazgar

Pope

Saha

et al. 2022

J. High Energ. Phys.

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Motivated by the results of Anastasiou et al., we consider the convolutional double copy for BRST and anti-BRST covariant formulations of gravitational and gauge theories in more detail. We give a general BRST and anti-BRST invariant formulation of linearised $$ \mathcal{N} $$ N = 0 supergravity using superspace methods and show how this may be obtained from the square of linearised Yang-Mills theories. We demonstrate this relation for the Schwarzschild black hole and the ten-dimensional black string solution as two concrete examples.

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Nilpotent Symmetries in Jackiw-Pi Model: Augmented Superfield Approach

Gupta

Kumar

2015

Int J Theor Phys

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We derive the complete set of off-shell nilpotent (s^2_{(a)b} = 0) and absolutely anticommuting (s_b s_{ab} + s_{ab} s_b = 0) Becchi-Rouet-Stora-Tyutin (BRST) (s_b) as well as anti-BRST symmetry transformations (s_{ab}) corresponding to the combined Yang-Mills and non-Yang-Mills symmetries of the (2 + 1)-dimensional Jackiw-Pi model within the framework of augmented superfield formalism. The absolute anticommutativity of the (anti-)BRST symmetries is ensured by the existence of two sets of Curci-Ferrari (CF) type of conditions which emerge naturally in this formalism. The presence of CF conditions enables us to derive the coupled but equivalent Lagrangian densities. We also capture the (anti-)BRST invariance of the coupled Lagrangian densities in the superfield formalism. The derivation of the (anti-)BRST transformations of the auxiliary field \rho is one of the key findings which can neither be generated by the nilpotent (anti-)BRST charges nor by the requirements of the nilpotency and/or absolute anticommutativity of the (anti-)BRST transformations. Finally, we provide a bird's-eye view on the role of auxiliary field for various massive models and point out few striking similarities and some glaring differences among them.Comment: LaTex file: 24 pages, no figures, minor modifications in the title and text, references expanded, version to appear in IJT

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BRST, anti-BRST and gerbes

Cited by 52 publications

References 16 publications

Free Abelian 2-form gauge theory: BRST approach

Free Abelian 2-form gauge theory: BRST approach

BRST symmetry and the convolutional double copy

Nilpotent Symmetries in Jackiw-Pi Model: Augmented Superfield Approach

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