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Matching of correlators in AdS_3/CFT_2
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Recently exact agreement has been found between three-point correlators of chiral operators computed in string theory on AdS_3 x S^3 x T^4 with NS-NS flux and those computed in the symmetric orbifold CFT. However, it has also been shown that these correlators disagree with those computed in supergravity, under any identification of single particle operators which respects the symmetries. In this note we resolve this disagreement: the key point is that mixings with multi-particle operators are not suppressed even at large N in extremal correlators. Allowing for such mixings, orbifold/string theory operators and supergravity operators can be matched such that both non-extremal and extremal three point functions agree, giving further evidence for the non-renormalization of the chiral ring.
Forward citations
Cited by 2 Pith papers
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$AdS_3 \times S^3$ Virasoro-Shapiro amplitude with KK modes
The first curvature correction to the AdS3 x S3 Virasoro-Shapiro amplitude for four arbitrary KK modes is obtained as a single-valued polylogarithm worldsheet integral, yielding new anomalous dimensions and OPE data f...
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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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