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arXiv:1604.04535 [math.AG]AbstractReferencesReviewsResources

Algebraic K-theory and derived equivalences suggested by T-duality for torus orientifolds

Jonathan Rosenberg

Published 2016-04-15Version 1

We show that certain isomorphisms of (twisted) KR-groups that underlie T-dualities of torus orientifold string theories have purely algebraic analogues in terms of algebraic K-theory of real varieties and equivalences of derived categories of (twisted) coherent sheaves. The most interesting conclusion is a kind of Mukai duality in which the "dual abelian variety" to a smooth projective genus-1 curve over R with no real points is (mildly) noncommutative.

Comments: 15 pages, based on a talk at the conference on K-theory, Cyclic Homology and Motives, Rutgers, 2015
Categories: math.AG, hep-th, math.KT
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