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DDF operators in the Hybrid Formalism
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abstract
String theory with one unit of NS-NS flux on $\text{AdS}_3 \times \text{S}^3 \times \mathbb{T}^4$ has been recently realised to be the exact dual of the symmetric orbifold of $\mathbb{T}^4$. In the hybrid formalism of Berkovits, Vafa and Witten and using the free-field realisation of $\mathfrak{psu}(1,1|2)_1$, the DDF operators of the free bosons and the free fermions of $\mathbb{T}^4$ are constructed. It is shown that these DDF operators reproduce the whole spectrum of the space-time theory on the world-sheet and therefore provide a derivation of the dual spectrum from first-principles.
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Cited by 1 Pith paper
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Symmetric orbifold OPE from string theory
The worldsheet OPE of delta-function vertex operators in AdS3 string theory captures the longest single-cycle term of the symmetric orbifold OPE, with shorter cycles generated by screening operators.
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