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- W2950347103 abstract "We explicitly construct the C*-algebras arising in the formalism of Topological T-duality due to Mathai and Rosenberg from string-theoretic data in several key examples. We construct a continuous-trace algebra with an action of ${mathbb R}^d$ unique up to exterior equivalence from the data of a smooth ${mathbb T}^d$-equivariant gerbe on a trivial bundle $X = W times {mathbb T}^d$. We argue that the `noncommutative T-duals' of Mathai and Rosenberg, should be identified with the nongeometric backgrounds well-known in string theory. We also argue that the crossed-product C*-algebra ${mathcal A} rtimes_{alpha|_{KZ^d}} {mathbb Z}^d$ should be identified with the T-folds of Hull which geometrize these backgrounds. We identify the charge group of D-branes on T-fold backgrounds in the C*-algebraic formalism of Topological T-duality. We also study D-branes on T-fold backgrounds. We show that the $K$-theory bundles studied by Echterhoff, Nest and Oyono-Oyono give a natural description of these objects." @default.
- W2950347103 created "2019-06-27" @default.
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- W2950347103 date "2008-10-24" @default.
- W2950347103 modified "2023-09-27" @default.
- W2950347103 title "Topological T-duality and T-folds" @default.
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