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arXiv · 2206.03763

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

Ashwin S. Pande
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Abstract

We extend the $C^{\ast}-$algebraic formalism of Topological T-duality to section algebras of locally trivial bundles of strongly self-absorbing $C^{\ast}-$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 $C^{\ast}-$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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Ashwin S. Pande. 2022-06-08. Topological T-duality for bundles of strongly self-absorbing C*-algebras and some physical applications. https://arxiv.org/abs/2206.03763

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