Twisted String Theory in Anti-de Sitter Space

Songyuan Li (1) , Jan Troost (1)

1 Champs, Gravitation et Cordes

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.

Mots clés: Conformal Field Models in String Theory; AdS-CFT Correspondence; Topological Field Theories; Extended Supersymmetry; space-time: anti-de Sitter; string: twist; tensor: energy-momentum; space: anti-de Sitter; symmetry: conformal; operator: vertex; dimension: 3; string model; quantum gravity; topological; R symmetry; U(1)

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Songyuan Li, Jan Troost. Twisted String Theory in Anti-de Sitter Space. Journal of High Energy Physics, 2020, 11, pp.047. ⟨10.1007/JHEP11(2020)047⟩. ⟨hal-02870800⟩