Higher spins & strings

Matthias R. Gaberdiel

doi:10.1007/JHEP11(2014)044

Higher spins & strings

2014-11-10

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Matthias R. Gaberdiel *

R

Rajesh Gopakumar

DOI：10.1007/JHEP11(2014)044

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It is natural to believe that the free symmetric product orbifold CTT is dual to the tensionless limit of string theory on AdS(3) x S-3 x T-4. At this point in moduli space, string theory is expected to contain a Vasiliev higher spin theory as a subsector. We confirm this picture explicitly by showing that the large level limit of the N = 4 cosets of arXiv:1305.4181, that are dual to a higher spin theory on AdS(3), indeed describe a closed subsector of the symmetric product orbifokl. Furthermore, we reorganise the full partition function of the symmetric product orbifold in terms of representations of the higher spin algebra (or rather its W-infinity extension). In particular, the unbroken stringy symmetries of the tensionless limit are captured by a large chiral algebra which we can describe explicitly in terms of an infinite sum of W-infinity representations, thereby exhibiting a vast extension of the conventional higher spin symmetry.

Keyword:

Higher Spin Symmetry

AdS-CFT Correspondence

Conformal and W Symmetry

Conformal Field Models in String Theory

Higher spins & strings

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