The worldsheet dual of the symmetric product CFT

A bstract Superstring theory on AdS 3 × S 3 × T 4 with the smallest amount of NS-NS flux (“ k = 1”) is shown to be dual to the spacetime CFT given by the large N limit of the free symmetric product orbifold Sym N T 4 . To define the worldsheet theory at k = 1, we employ the hybrid formalism in which...

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Veröffentlicht in:The journal of high energy physics Jg. 2019; H. 4; S. 1 - 48
Hauptverfasser: Eberhardt, Lorenz, Gaberdiel, Matthias R., Gopakumar, Rajesh
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2019
Springer Nature B.V
SpringerOpen
Schlagworte:
AdS-CFT Correspondence
Classical and Quantum Gravitation
Conformal Field Models in String Theory
Elementary Particles
High energy physics
Long strings
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Superstrings and Heterotic Strings
AdS-CFT Correspondence
Superstrings and Heterotic Strings
Conformal Field Models in String Theory
Long strings
ISSN:1029-8479, 1029-8479
Online-Zugang:Volltext
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Zusammenfassung:A bstract Superstring theory on AdS 3 × S 3 × T 4 with the smallest amount of NS-NS flux (“ k = 1”) is shown to be dual to the spacetime CFT given by the large N limit of the free symmetric product orbifold Sym N T 4 . To define the worldsheet theory at k = 1, we employ the hybrid formalism in which the AdS 3 × S 3 part is described by the p s u 1 , 1 | 2 1 WZW model (which is well defined). Unlike the case for k ≥ 2, it turns out that the string spectrum at k = 1 does not exhibit the long string continuum, and perfectly matches with the large N limit of the symmetric product. We also demonstrate that the fusion rules of the symmetric orbifold are reproduced from the worldsheet perspective. Our proposal therefore affords a tractable worldsheet description of a tensionless limit in string theory, for which the dual CFT is also explicitly known.
Bibliographie:ObjectType-Article-1
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2019)103