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Extended BRST–anti-BRST transformations in non-Abelian self-dual Chern–Simons coupling theory

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Abstract

We establish the extended BRST and anti-BRST transformations for non-Abelian relativistic self-dual Chern–Simons theory coupled to scalar fields within the Batalin–Vilkovisky framework. Based on these constructions, we describe the total effective extended BRST-invariant Lagrangian density of the coupling theory by means of superfields with one Grassmann coordinates. Moreover, we need two fermionic variables to reexpress the extended BRST–anti-BRST-invariant Lagrangian in the superspace.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: Data are publicy released on a regular basis by IceCube at https://icecube.wisc.edu/science/data/access/. The data used in this publication will be made available at this URL.]

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Authors and Affiliations

  1. Department of Physics, Zhejiang University, Hangzhou, 310027, People’s Republic of China

    Jialiang Dai

  2. Center of Mathematical Science, Zhejiang University, Hangzhou, 310027, People’s Republic of China

    Jialiang Dai

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  1. Jialiang Dai
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Dai, J. Extended BRST–anti-BRST transformations in non-Abelian self-dual Chern–Simons coupling theory. Eur. Phys. J. Plus 135, 431 (2020). https://doi.org/10.1140/epjp/s13360-020-00426-4

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