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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Podrobná bibliografie
Vydáno v:	The journal of high energy physics Ročník 2019; číslo 4; s. 1 - 48
Hlavní autoři:	Eberhardt, Lorenz, Gaberdiel, Matthias R., Gopakumar, Rajesh
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2019 Springer Nature B.V SpringerOpen
Témata:	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
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Shrnutí:	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.
Bibliografie:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1029-8479 1029-8479
DOI:	10.1007/JHEP04(2019)103