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<p>A quantizable and manifestly PSU(1<i>,</i> 1|2) × PSU(1<i>,</i> 1|2)-invariant action for the superstring in AdS<sub>3</sub> × S<sup>3</sup> × T<sup>4</sup> with mixed NS-NS and R-R self-dual three-form flux is constructed, which is the analogue of the AdS<sub>5</sub> × S<sup>5</sup> pure spinor action for AdS<sub>3</sub> × S<sup>3</sup>. The model is then quantized and proven to be conformal invariant at the one-loop level. We conclude by showing how one can relate the supersymmetric description with the Berkovits-Vafa-Witten AdS<sub>3</sub> × S<sup>3</sup> worldsheet action with mixed flux.</p>

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Covariant quantization of the superstring in AdS3 × S3 × T4 with mixed flux

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  • 发表日期：

    2025年4月8日

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  • Cassiano A. Daniel

摘要

A quantizable and manifestly PSU(1, 1|2) × PSU(1, 1|2)-invariant action for the superstring in AdS3 × S3 × T4 with mixed NS-NS and R-R self-dual three-form flux is constructed, which is the analogue of the AdS5 × S5 pure spinor action for AdS3 × S3. The model is then quantized and proven to be conformal invariant at the one-loop level. We conclude by showing how one can relate the supersymmetric description with the Berkovits-Vafa-Witten AdS3 × S3 worldsheet action with mixed flux.