Algebraic K-theory and derived equivalences suggested by T-duality for torus orientifolds
Algebraic Geometry
2016-12-22 v1 High Energy Physics - Theory
K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.1604.04535,
title = {Algebraic K-theory and derived equivalences suggested by T-duality for torus orientifolds},
author = {Jonathan Rosenberg},
journal= {arXiv preprint arXiv:1604.04535},
year = {2016}
}
Comments
15 pages, based on a talk at the conference on K-theory, Cyclic Homology and Motives, Rutgers, 2015