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arXiv · 1701.06710

Manifestly T-dual formulation of AdS space

Machiko Hatsuda·Kiyoshi Kamimura·Warren Siegel
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Abstract

We present a manifestly T-dual formulation of curved spaces such as an AdS space. For group manifolds related by the orthogonal vielbein fields the three form H=dB in the doubled space is universal at least locally. We construct an affine nondegenerate doubled bosonic AdS algebra to define the AdS space with the Ramond-Ramond flux. The non-zero commutator of the left and right momenta leads to that the left momentum is in an AdS space while the right momentum is in a dS space. Dimensional reduction constraints and the physical AdS algebra are shown to preserve all the doubled coordinates.

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Machiko Hatsuda, Kiyoshi Kamimura, Warren Siegel. 2017-05-03. Manifestly T-dual formulation of AdS space. https://doi.org/10.1007/jhep05(2017)069

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