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

2014/07/31 by Jonathan Rosenberg · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Conjecture #Duality (order theory) #Geometric and Algebraic Topology #Geometry #Homotopy and Cohomology in Algebraic Topology #Mathematical physics #Mathematics #Orientifold #Physics #Pure mathematics #String (physics) #String theory #T-duality #Theoretical physics #Torus #hep-th #math.KT #math.OA #msc:19K35 #msc:19L50 #msc:19L64 #msc:46L60 #msc:46L85 #msc:81T30

paper · pdf · doi:10.1016/j.geomphys.2014.12.004

published as J. Geom. and Physics 89 (2015), 24-31 · 14 pages. Minor corrections, a few more references and explanations

arxiv created 2014/11/27 · openalex publication_date 2014/12/15 · arxiv updated 2015/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• On The Structure Of The Chan-Paton Factors For D-Branes In Type II Orientifolds
• Twistings of KR for Real groupoids
• Baryons And Branes In Anti de Sitter Space

Cited by

• T-Duality Simplifies Bulk–Boundary Correspondence: Some Higher Dimensional Cases