Higher spins & strings

By M. Gaberdiel, Rajesh Gopakumar. 2014

227 citations recorded by the source corpus.

A bstractIt is natural to believe that the free symmetric product orbifold CFT is dual to the tensionless limit of string theory on AdS3 × S3 × T4$$ {\mathbb{T}}^4 $$. 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$$ \mathcal{N} $$ =4 cosets of arXiv:1305.4181, that are dual to a higher spin theory on AdS3, indeed describe a closed subsector of the symmetric product orbifold. 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∞$$ {\mathcal{W}}_{\infty } $$ 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∞$$ {\mathcal{W}}_{\infty } $$ representations, thereby exhibiting a vast extension of the conventional higher spin symmetry.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1221bb8964880c4201b128390877d926f368016e

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Citations in the corpus

Bounding the space of holographic CFTs with chaos (2016, methodology): “For the supersymmetric AdS3 Vasiliev theory with so-called shs2[λ] symmetry, this is now shown to be literally true [32–34]: CFT arguments imply that this super-Vasiliev theory forms a closed subsector of type IIB string theory on AdS3 × S3 × T 4 in the tensionless limit, α′ → ∞.”
Tensionless string spectra on AdS3 (2018, background): “Among other things, this enabled one to make precise the sense in which the symmetric product orbifold describes a tensionless point in the moduli space of string theory on AdS3 [1].”
The worldsheet dual of the symmetric product CFT (2018, background): “tra directly implies that there are enhanced unbroken symmetries: they arise from the massless higher spin gauge elds which are dual to the additional conserved currents in the dual free CFT [48{51], [41]. Indeed, as explained in [14,52], the tensionless string theory dual to the symmetric product C”