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Algebraic K-theory and derived equivalences suggested by T-duality for torus orientifolds (1604.04535v1)
Published 15 Apr 2016 in math.AG, hep-th, and math.KT
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.