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Asymptotically Free AdS3/CFT2
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abstract
We propose a new $AdS_3/CFT_2$ duality, in which the bulk string theory has a target spacetime $AdS_3$ times a squashed three-sphere $S^3_\flat$, and the dual $CFT_2$ is a symmetric product of sigma models on $R_\phi\times S^3_\flat$, deformed by a $\phi$-dependent $Z_2$ twist operator. The duality maps the asymptotic region of $AdS_3$ to the region $\phi\to\infty$, where the twist interaction in the $CFT_2$ turns off. The $AdS_3$ backgrounds in question have $R_{AdS}<\ell_s$, and so lie on the string side of the string/black hole correspondence transition. As a consequence, the high energy density of states consists of a string gas in $AdS_3$ rather than an ensemble of BTZ black holes. This property allows us to derive the dual $CFT_2$ by a systematic analysis of the worldsheet string theory on $AdS_3$.
Forward citations
Cited by 3 Pith papers
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Covering space maps for $n$-point functions with three long twists
Explicit covering-space maps for three long twists plus any number of twist-2 operators are constructed, yielding closed-form four- and five-point bare twist correlators in the ΔN=1,2 cases.
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Cogito, ergo - strings: Supersymmetric ergoregions and their stringy excitations
Supersymmetric ergoregions without horizons in NS5-F1-P bound states are shown to admit negative-energy BPS excitations, described via gauged WZW models and mapped holographically to the dual CFT.
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On string theory on (deformed) $AdS_3\times \mathbb{T}^3$
For string theory on AdS3 at k=1 the paper builds winding-one worldsheet operators that reproduce the chiral algebra of the boundary symmetric-product theory R × T3, and derives T̄T-deformed two-point functions for cu...
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