Asymptotic symmetry groups and operator algebras

Abstract

We associate vertex operators to space-time diffeomorphisms in flat space string theory, and compute their algebra, which is a diffeomorphism algebra with higher derivative corrections. As an application, we realize the asymptotic symmetry group BMS3 of three-dimensional flat space in terms of vertex operators on the string worldsheet. This provides an embedding of the BMS3 algebra in a consistent theory of quantum gravity. Higher derivative corrections vanish asymptotically. An appendix is dedicated to alpha prime corrected algebras in conformal field theory and string theory.

25 pages

References in corpus (1)

• Holography of 3d Flat Cosmological Horizons

Cited by in corpus (6)

• Green-Schwarz mechanism and ${\alpha }^{\prime }$-deformed Courant brackets
• BMS, String Theory, and Soft Theorems
• Free-field realisations of the BMS${}_3$ algebra and its extensions
• Unitarity in three-dimensional flat space higher spin theories
• The Algebra of Diffeomorphisms from the World Sheet
• Asymptotic Symmetries in the TsT/$T\bar{T}$ Correspondence