Higher spins on AdS3 from the worldsheet

A bstract It was recently shown that the CFT dual of string theory on AdS 3 × S 3 × T 4 , the symmetric orbifold of T 4 , contains a closed higher spin subsector. Via holography, this makes precise the sense in which tensionless string theory on this background contains a Vasiliev higher spin theory...

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Veröffentlicht in:The journal of high energy physics 2017-07, Vol.2017 (7), p.1-37, Article 131
Hauptverfasser: Ferreira, Kevin, Gaberdiel, Matthias R., Jottar, Juan I.
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Sprache:eng
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Zusammenfassung:A bstract It was recently shown that the CFT dual of string theory on AdS 3 × S 3 × T 4 , the symmetric orbifold of T 4 , contains a closed higher spin subsector. Via holography, this makes precise the sense in which tensionless string theory on this background contains a Vasiliev higher spin theory. In this paper we study this phenomenon directly from the worldsheet. Using the WZW description of the background with pure NS-NS flux, we identify the states that make up the leading Regge trajectory and show that they fit into the even spin N = 4 Vasiliev higher spin theory. We also show that these higher spin states do not become massless, except for the somewhat singular case of level k = 1 where the theory contains a stringy tower of massless higher spin fields coming from the long string sector.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2017)131