Manifestly T-dual formulation of AdS space

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.

35 pages, v2: Explanation of the relation to other approaches, a pedagogical review and references are added, to appear in JHEP

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Cited by in corpus (3)

• Perturbative F-theory 10-brane and M-theory 5-brane
• O(D,D) gauge fields in the T-dual string Lagrangian
• Cosmological constant as quantum error correction from generalised gauge invariance in double field theory