Noncommutative Supergeometry and Duality |
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Authors: | Schwarz Albert |
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Institution: | (1) Department of Mathematics, University of California at Davis, Davis, CA, 95616, U.S.A |
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Abstract: | We introduce a notion of Q-algebra that can be considered as a generalization of the notion of Q-manifold (a supermanifold equipped with an odd vector field obeying {Q,Q} =0). We develop the theory of connections on modules over Q-algebras and prove a general duality theorem for gauge theories on such modules. This theorem contains as a simplest case SO(d,d,
Z)-duality of gauge theories on noncommutative tori. |
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Keywords: | noncommutative geometry supergeometry Yang– Mills theory duality |
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