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arXiv · 2405.03532

Five-dimensional non-Abelian supersymmetric Chern-Simons action in Projective Superspace

Ariunzul Davgadorj
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Abstract

In this paper, we derive the five-dimensional non-Abelian $\mathcal{N}=1$ Chern-Simons action from its established 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 have been finally able to obtain this term. As a bonus, we also give the supersymmetric Yang-Mills action with a half measure as well.

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Ariunzul Davgadorj. 2024-05-06. Five-dimensional non-Abelian supersymmetric Chern-Simons action in Projective Superspace. https://doi.org/10.1103/wsmb-28xp

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