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Abelian 3-form gauge theory: Superfield approach

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Abstract

We discuss a D-dimensional Abelian 3-form gauge theory within the framework of Bonora-Tonin’s superfield formalism and derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for this theory. To pay our homage to Victor I. Ogievetsky (1928–1996), who was one of the inventors of Abelian 2-form (antisymmetric tensor) gauge field, we go a step further and discuss the above D-dimensional Abelian 3-form gauge theory within the framework of BRST formalism and establish that the existence of the (anti-)BRST invariant Curci-Ferrari (CF) type of restrictions is the hallmark of any arbitrary p-form gauge theory (discussed within the framework of BRST formalism).

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Authors and Affiliations

  1. Department of Physics, Centre of Advanced Studies, Banaras Hindu University, Varanasi, 221 005, U. P., India

    R. P. Malik

  2. DST Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi, 221 005, U. P., India

    R. P. Malik

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  1. R. P. Malik
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Correspondence to R. P. Malik.

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The article is published in the original.

Talk delivered at BLTP, JINR, Dubna, Moscow Region, Russia in the International Workshop on “Supersymmetries and Quantum Symmetries” (SQS’11) [18–23 July 2011]. Slightly modified versions of this article were presented at International Conferences: QFT-11, IISER, Pune [23–27 February 2011] and NTFT-2, BHU, Varanasi [7–12 February 2011].

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Malik, R.P. Abelian 3-form gauge theory: Superfield approach. Phys. Part. Nuclei 43, 669–672 (2012). https://doi.org/10.1134/S1063779612050243

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  • DOI: https://doi.org/10.1134/S1063779612050243

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