Eur. Phys. J. C (2017) 77: 157
https://doi.org/10.1140/epjc/s10052-017-4721-0

Regular Article - Theoretical Physics

Lorentz violating p-form gauge theories in superspace

¹ Centre for Theoretical Studies, Indian Institute of Technology Kharagpur, Kharagpur, 721302, India
² Department of Physics, National Institute of Technology, Srinagar, Kashmir, 190006, India

^* e-mail: sudhakerupadhyay@gmail.com

Received: 17 January 2017
Accepted: 22 February 2017
Published online: 14 March 2017

Abstract

Very special relativity (VSR) keeps the main features of special relativity but breaks rotational invariance due to an intrinsic preferred direction. We study the VSR-modified extended BRST and anti-BRST symmetry of the Batalin–Vilkovisky (BV) actions corresponding to the -form gauge theories. Within the VSR framework, we discuss the extended BRST invariant and extended BRST and anti-BRST invariant superspace formulations for these BV actions. Here we observe that the VSR-modified extended BRST invariant BV actions corresponding to the -form gauge theories can be written in a manifestly covariant manner in a superspace with one Grassmann coordinate. Moreover, two Grassmann coordinates are required to describe the VSR-modified extended BRST and extended anti-BRST invariant BV actions in a superspace. These results are consistent with the Lorentz-invariant (special relativity) formulation.