4.4 Article

The worldsheet dual of the symmetric product CFT

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP04(2019)103

Keywords

AdS-CFT Correspondence; Conformal Field Models in String Theory; Long strings; Superstrings and Heterotic Strings

Funding

  1. Swiss National Science Foundation
  2. NCCR SwissMAP - Swiss National Science Foundation
  3. J.C. Bose Fellowship of the SERB, Govt. of India
  4. Infosys Excellence Grant

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Superstring theory on AdS3xS3xT4 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). To define the worldsheet theory at k = 1, we employ the hybrid formalism in which the AdS(3) x S-3 part is described by the psu1 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.

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