152 citations · 453 across the 37 of their papers we have counts for
13 papers · 1 filter
Group dualities, T-dualities, and twisted K-theory
Varghese Mathai, Jonathan Rosenberg
This paper explores further the connection between Langlands duality and T-duality for compact simple Lie groups, which appeared in work of Daenzer-Van Erp and Bunke-Nikolaus. We s…
Real Baum-Connes assembly and T-duality for torus orientifolds
Jonathan Rosenberg
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 to…
String theory on elliptic curve orientifolds and KR-theory
Charles Doran, Stefan Mendez-Diez, Jonathan Rosenberg
We analyze the brane content and charges in all of the orientifold string theories on space-times of the form E x R^8, where E is an elliptic curve with holomorphic or anti-holomor…
T-duality for circle bundles via noncommutative geometry
Varghese Mathai, Jonathan Rosenberg
Recently Baraglia showed how topological T-duality can be extended to apply not only to principal circle bundles, but also to non-principal circle bundles. We show that his results…
T-duality For Orientifolds and Twisted KR-theory
Charles Doran, Stefan Mendez-Diez, Jonathan Rosenberg
D-brane charges in orientifold string theories are classified by the KR-theory of Atiyah. However, this is assuming that all O-planes have the same sign. When there are O-planes of…
Dualities in Field Theories and the Role of K-Theory
Jonathan Rosenberg
It is now known (or in some cases just believed) that many quantum field theories exhibit dualities, equivalences with the same or a different theory in which things appear very di…