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Five-dimensional non-Abelian supersymmetric Chern-Simons action in projective superspace

Ariunzul Davgadorj*

  • *Contact author: ariunzul.d@gmail.com
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Phys. Rev. D 111, 125008 – Published 13 June, 2025

DOI: https://doi.org/10.1103/wsmb-28xp

Abstract

In this paper, we derive five-dimensional non-Abelian N=1 Chern-Simons action from its proposed definition of variation with respect to an infinitesimal deformation of the vector prepotential in a projective superspace setting. It has been a long-standing open problem how to integrate this variation. Now, thanks to the simplicity of a projective superspace technique, we are finally able to obtain this term. Our final result is expressed in terms of the real prepotential multiplets and projective covariant derivatives. The action reduces to the correct formula in the Abelian limit. As a bonus, we also give the supersymmetric Yang-Mills action with a half measure.

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New techniques for gauge theories in projective superspace

Ariunzul Davgadorj, Ulf Lindström, and Rikard von Unge
Phys. Rev. D 108, 066004 (2023)

Article Text

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Outline

Information

Phys. Rev. D 111, 125008– Published 13 June, 2025
  • Received 8 April 2025
  • Accepted 23 May 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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