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Correlators of the symmetric product orbifold
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abstract
We exploit null vectors of the fractional Virasoro algebra of the symmetric product orbifold to compute correlation functions of twist fields in the large $N$ limit. This yields a new method to derive correlation functions in these orbifold CFTs that is purely based on the symmetry algebra. We explore various generalisations, such as subleading (torus) contributions or correlation functions of other fields than the bare twist fields. We comment on the consequences of our computation for the $\text{AdS}_3/\text{CFT}_2$ correspondence.
Forward citations
Cited by 2 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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The Triplet Perturbation of the Symmetric Orbifold
The triplet perturbation of the T4 symmetric orbifold is shown to preserve the same integrable structure as the singlet and is identified with the self-dual R-R 2-form modulus in AdS3/CFT2.
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