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Superstrings in AdS
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This is a comprehensive review of the worldsheet techniques for the quantization of type IIB superstring theory on the AdS_5 x S^5 background, using the pure spinor formalism. Particular emphasis is devoted to AdS/CFT applications, with several examples worked out in details. The review is self-contained and pedagogical. Table of contents: 1) Introduction; 2) Generalities; 3) Supercoset sigma models; 4) Quantum effective action and conformal invariance; 5) String spectrum; 6) Integrability.
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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.
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