Twisted String Theory in Anti-de Sitter Space

Abstract

We construct a string theory in three-dimensional anti-de Sitter space-time that is independent of the boundary metric. It is a topologically twisted theory of quantum gravity. We study string theories with an asymptotic N=2 superconformal symmetry and demonstrate that, when the world sheet coupling to the space-time boundary metric undergoes a U(1) R-symmetry twist, the space-time boundary energy-momentum tensor becomes topological. As a by-product of our analysis, we obtain the world sheet vertex operator that codes the space-time energy-momentum for conformally flat boundary metrics.

arXiv comment23 pages

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Cited by in corpus (7)

• Free field world-sheet correlators for ${\mathrm{AdS}}_3$
• Partition functions of the tensionless string
• Superstrings in Thermal Anti-de Sitter Space
• String Scale Thermal Anti-de Sitter Spaces
• The $Ad{S}_3\times S^1$ Chiral Ring
• Boundary Conditions in Topological AdS${}_4$/CFT${}_3$
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence