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Holographic correlators in AdS$_3$
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abstract
We derive the four-point correlators of scalar operators of dimension one in the supergravity limit of the D1D5 CFT holographically dual to string theory on AdS$_3\times S^3\times \mathcal{M}$, with $\mathcal{M}$ either $T^4$ or $K3$. We avoid the use of Witten diagrams but deduce our result from a limit of the heavy-heavy-light-light correlators computed in arXiv:1705.09250, together with several consistency requirements of the OPE in the various channels. This result represents the first holographic correlators of single-trace operators computed in AdS$_3$.
Forward citations
Cited by 2 Pith papers
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Holography of quarter-BPS AdS bubbles
The CFT state dual to quarter-BPS AdS bubbles is determined to quadratic order, explicitly containing the lightest quarter-BPS operator O1/4 with its subleading 1/N mixing.
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Fortuity beyond counting: an explicit construction
Explicit construction of BPS states in (h,j)=(1,0) sector of D1D5 CFT shows non-vanishing three-point coupling between monotone and fortuitous states, indicating the sectors are dynamically connected.
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