Free field world-sheet correlators for AdS3

A bstract We employ the free field realisation of the psu 1 1 2 1 world-sheet theory to constrain the correlators of string theory on AdS 3 × S 3 × 𝕋 4 with unit NS-NS flux. In particular, we directly obtain the unusual delta function localisation of these correlators onto branched covers of the bou...

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Bibliographic Details
Published in:The journal of high energy physics Vol. 2021; no. 2; pp. 1 - 44
Main Authors: Dei, Andrea, Gaberdiel, Matthias R., Gopakumar, Rajesh, Knighton, Bob
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2021
SpringerOpen
Subjects:
AdS-CFT Correspondence
Classical and Quantum Gravitation
Conformal and W Symmetry
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 and W Symmetry
Conformal Field Models in String Theory
ISSN:1029-8479, 1029-8479
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Summary:A bstract We employ the free field realisation of the psu 1 1 2 1 world-sheet theory to constrain the correlators of string theory on AdS 3 × S 3 × 𝕋 4 with unit NS-NS flux. In particular, we directly obtain the unusual delta function localisation of these correlators onto branched covers of the boundary S 2 by the (genus zero) world-sheet — this is the key property which makes the equivalence to the dual symmetric orbifold manifest. In our approach, this feature follows from a remarkable ‘incidence relation’ obeyed by the correlators, which is reminiscent of a twistorial string description. We also illustrate our results with explicit computations in various special cases.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP02(2021)081