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Aleph-Null Extended Supergravity and Chern-Simons Theories | | Hitoshi Nishino
; S.J. Gates
; Jr.
; | | Date: |
15 Jun 1996 | | Journal: | Nucl.Phys. B480 (1996) 573-588 | | Subject: | hep-th | | Affiliation: | UMD) and S.J. Gates, Jr. (UMD | | 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. | | Source: | arXiv, hep-th/9606090 | | Services: | Forum | Review | PDF | Favorites | |
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