Topological T-duality for bundles of strongly self-absorbing C*-algebras and some physical applications

2022/06/08 by Pande, Ashwin S.
#46-XX #47-XX #81-XX #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2206.03763

Abstract

We extend the C^∗-algebraic formalism of Topological T-duality to section algebras of locally trivial bundles of strongly self-absorbing C^∗-algebras and to a larger class of String Theoretic dualities. We argue that physically this corresponds extending Topological T-duality to Flux Backgrounds of Type II String Theory which possess topologically nontrivial sourceless Ramond-Ramond flux. We demonstrate a map in K-theory for the C^∗-algebras involved in both sides of this generalized duality. We calculate a few examples. We discuss the physical relevance of the above formalism in some detail, in particular, we argue that the above formalism models String Theoretic tree-level dualities found in such Flux Backgrounds such as Fermionic T-duality and Timelike T-duality.

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