T-duality as a duality of loop group bundles

Peter Bouwknegt; Varghese Mathai

doi:10.1088/1751-8113/42/16/162001

T-duality as a duality of loop group bundles

Peter Bouwknegt^*, Varghese Mathai

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

Representing the data of a string compactified on a circle in the background of H-flux in terms of the geometric data of a principal loop group bundle, we show that T-duality in type II string theory can be understood as the interchange of the momentum and winding homomorphisms of the principal loop group bundle, thus giving rise to a new interpretation of T-duality.

Original language	English
Article number	162001
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	42
Issue number	16
DOIs	https://doi.org/10.1088/1751-8113/42/16/162001
Publication status	Published - 2009

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10.1088/1751-8113/42/16/162001

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AB - Representing the data of a string compactified on a circle in the background of H-flux in terms of the geometric data of a principal loop group bundle, we show that T-duality in type II string theory can be understood as the interchange of the momentum and winding homomorphisms of the principal loop group bundle, thus giving rise to a new interpretation of T-duality.

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T-duality as a duality of loop group bundles

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