Manifestly T-dual formulation of AdS space
High Energy Physics - Theory
2017-06-07 v2
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.
Keywords
Cite
@article{arxiv.1701.06710,
title = {Manifestly T-dual formulation of AdS space},
author = {Machiko Hatsuda and Kiyoshi Kamimura and Warren Siegel},
journal= {arXiv preprint arXiv:1701.06710},
year = {2017}
}
Comments
35 pages, v2: Explanation of the relation to other approaches, a pedagogical review and references are added, to appear in JHEP