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arXiv · hep-th/9606090

Aleph-Null Extended Supergravity and Chern-Simons Theories

Hitoshi Nishino·S. J. Gates, Jr.
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Abstract

We give generalizations of extended Poincaré supergravity with {\it arbitrarily many} supersymmetries in the absence of central charges in three-dimensions by gauging its intrinsic global $~SO(N)$~ symmetry. We call these \alephnull (Aleph-Null) supergravity theories. We further couple a non-Abelian supersymmetric Chern-Simons theory and an Abelian topological BF theory to \alephnull supergravity. Our result overcomes the previous difficulty for supersymmetrization of Chern-Simons theories beyond $~N=4$. This feature is peculiar to the Chern-Simons and BF theories including supergravity in three-dimensions. We also show that dimensional reduction schemes for four-dimensional theories such as $~N=1$~ self-dual supersymmetric Yang-Mills theory or $~N=1$~ supergravity theory that can generate \alephnull globally and locally supersymmetric theories in three-dimensions. As an interesting application, we present \alephnull supergravity Liouville theory in two-dimensions after appropriate dimensional reduction from three-dimensions.

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Hitoshi Nishino, S. J. Gates, Jr.. 1996-06-14. Aleph-Null Extended Supergravity and Chern-Simons Theories. https://doi.org/10.1016/s0550-3213(96)00476-2

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