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Journal of High Energy Physics

, 2016:85 | Cite as

String theory as a higher spin theory

  • Matthias R. Gaberdiel
  • Rajesh GopakumarEmail author
Open Access
Regular Article - Theoretical Physics
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Abstract

The symmetries of string theory on \( {\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathbb{T}}^4 \) at the dual of the symmetric product orbifold point are described by a so-called Higher Spin Square (HSS). We show that the massive string spectrum in this background organises itself in terms of representations of this HSS, just as the matter in a conventional higher spin theory does so in terms of representations of the higher spin algebra. In particular, the entire untwisted sector of the orbifold can be viewed as the Fock space built out of the multiparticle states of a single representation of the HSS, the so-called ‘minimal’ representation. The states in the twisted sector can be described in terms of tensor products of a novel family of representations that are somewhat larger than the minimal one.

Keywords

AdS-CFT Correspondence Conformal Field Models in String Theory 
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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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© The Author(s) 2016

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Institut für Theoretische Physik, ETH ZurichZürichSwitzerland
  2. 2.International Centre for Theoretical Sciences-TIFRBengaluru NorthIndia

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