# Aspects of ABJM orbifolds with discrete torsion - High Energy Physics - Theory

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Abstract: We analyze orbifolds with discrete torsion of the ABJM theory by a finitesubgroup $\Gamma$ of $SU2\times SU2$ . Discrete torsion is implemented bytwisting the crossed product algebra resulting after orbifolding. It is shownthat, in general, the order $m$ of the cocycle we chose to twist the algebra byenters in a non trivial way in the moduli space. To be precise, the M-theoryfiber is multiplied by a factor of $m$ in addition to the other effects thatwere found before in the literature. Therefore we got a$\mathbb{Z} {\frac{k|\Gamma|}{m}}$ action on the fiber. We present a generalanalysis on how this quotient arises along with a detailed analysis of thecases where $\Gamma$ is abelian.

Autor: Mauricio Romo

Fuente: https://arxiv.org/