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arXiv · 1309.6458

BRST symmetry and Darboux transformations in Abelian 2-form gauge theory

Sudhaker Upadhyay
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Abstract

We analyse the constraints of an Abelian 2-form gauge theory using Faddeev-Jackiw symplectic formalism. Further, this theory is treated as a constrained system in the context of Batalin-Fradkin-Vilkovisky formalism to retrieve the BRST symmetry. Using the fields decompositions the effective action for Abelian 2-form gauge theory is written in terms of diagonalized uncanonical part and BRST exact one. The nilpotent BRST and contracting homotopy $σ$ closed transformations with field redefinitions are shown as the Darboux transformations used in the Faddeev-Jackiw formalism.

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Sudhaker Upadhyay. 2013-10-17. BRST symmetry and Darboux transformations in Abelian 2-form gauge theory. https://doi.org/10.1209/0295-5075%2F103%2F61002

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