Spectral flow and localisation in AdS3 string theory

A bstract We study string theory in three-dimensional Anti-de Sitter spacetime in the path integral formalism. We derive expressions for generic spectrally-flowed near-boundary vertex operators in the Wakimoto representation, and relate their correlation functions to covering maps from the worldshee...

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Vydané v:The journal of high energy physics Ročník 2024; číslo 5; s. 1 - 55
Hlavní autori: Knighton, Bob, Seet, Sean, Sriprachyakul, Vit
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 10.05.2024
SpringerOpen
Predmet:
AdS-CFT Correspondence
Bosonic Strings
Classical and Quantum Gravitation
Conformal Field Models in String Theory
Elementary Particles
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
AdS-CFT Correspondence
Conformal Field Models in String Theory
Bosonic Strings
ISSN:1029-8479, 1029-8479
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Shrnutí:A bstract We study string theory in three-dimensional Anti-de Sitter spacetime in the path integral formalism. We derive expressions for generic spectrally-flowed near-boundary vertex operators in the Wakimoto representation, and relate their correlation functions to covering maps from the worldsheet to the target space boundary. We show that the path integral structurally reproduces correlation functions of the dual symmetric orbifold theory. By rephrasing spectral flow as the introduction of a background gauge field, we provide a path integral derivation of the localisation property of the near boundary theory. We then focus on the case of IIB string theory on AdS 3 × S 3 × 𝕋 4 with k = 1 units of NS-NS flux, where the relationship between correlation functions and covering maps can be made sharp. We also comment on the relation of the k = 1 theory and twistor theory.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2024)113