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

作者：Rosenberg Jonathan^*

来源：Journal of Pure and Applied Algebra, 2017, 221(7): 1717-1728.

DOI：10.1016/j.jpaa.2016.12.025

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 11 with no real points is (mildly) noncommutative.

• 出版日期2017-7