Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772794 | Journal of Pure and Applied Algebra | 2017 | 16 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jonathan Rosenberg,