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arXiv · 1604.04535

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

Jonathan Rosenberg
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Abstract

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.

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Jonathan Rosenberg. 2016-04-15. Algebraic K-theory and derived equivalences suggested by T-duality for torus orientifolds. https://doi.org/10.1016/j.jpaa.2016.12.025

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