A manifestly supersymmetric and quantizable worldsheet action for the mixed-flux AdS3 x S3 x T4 superstring is constructed and shown to be one-loop conformal.
Half-BPS Vertex Operators of the $AdS_5\times S^5$ Superstring
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abstract
Using the pure spinor formalism for the superstring in an $AdS_5\times S^5$ background, a simple expression is found for half-BPS vertex operators. At large radius, these vertex operators reduce to the usual supergravity vertex operators in a flat background. And at small radius, there is a natural conjecture for generalizing these vertex operators to non-BPS states.
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Covariant quantization of the superstring in $\rm AdS_3 \times S^3 \times T^4$ with mixed flux
A manifestly supersymmetric and quantizable worldsheet action for the mixed-flux AdS3 x S3 x T4 superstring is constructed and shown to be one-loop conformal.