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Exact Solutions for Self--Dual Yang--Mills and Self--Dual Tensor Multiplets on Gravitational Instanton Background | | Hitoshi Nishino
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16 Oct 1992 | | Journal: | Phys. Lett. B307 (1993) 339 | | Subject: | hep-th | | Abstract: | We give exact solutions for a recently developed ~$N=1$~ locally supersymmetric self-dual gauge theories in $~(2+2)-$dimensions. We give the exact solutions for an $~SL(2)$~ self-dual Yang-Mills multiplet and what we call ``self-dual tensor multiplet’’ on the gravitational instanton background by Eguchi-Hanson. We use a general method to get an $~SL(2)$~ self-dual Yang-Mills solution from any known self-dual gravity solution. Our result is the first example of exact solutions for the coupled system of these $~N=1$~ locally supersymmetric self-dual multiplets in ~$(2+2)-$dimensions, which is supposed to have strong significance for integrable models in lower-dimensions upon appropriate dimensional reduction or truncation. We also inspect the consistency of our exact solutions as a background for $~N=2$~ superstring coupled to the Wess-Zumino-Witten term in $~s-$model formulation. | | Source: | arXiv, hep-th/9210093 | | Services: | Forum | Review | PDF | Favorites | |
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