Real Baum-Connes assembly and T-duality for torus orientifolds

TL;DR

This paper demonstrates that the real Baum-Connes conjecture explains the isomorphisms of twisted KR-groups fundamental to T-duality in torus orientifold string theories, linking advanced mathematical conjectures with string theory dualities.

Contribution

It establishes a mathematical framework connecting the real Baum-Connes conjecture with T-duality in string theory, specifically for torus orientifolds.

Findings

Real Baum-Connes conjecture explains T-duality isomorphisms.

Twisted KR-groups are central to understanding orientifold T-duality.

Mathematical structures underpin key string theory dualities.

Abstract

We show that the real Baum-Connes conjecture for abelian groups, possibly twisted by a cocycle, explains the isomorphisms of (twisted) KR-groups that underlie all T-dualities of torus orientifold string theories.