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Noncommutative supergeometry and duality

Authors
  • Schwarz, Albert S.
Publication Date
Dec 01, 1999
Identifiers
DOI: 10.1023/A:1007621011698
OAI: oai:inspirehep.net:512383
Source
INSPIRE-HEP
Keywords
License
Unknown
External links

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,{\bf Z})-duality of gauge theories on noncommutative tori.

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