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Superstring Theory on AdS_2 x S^2 as a Coset Supermanifold

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arxiv hep-th/9907200 v2 pith:MYMKAE24 submitted 1999-07-27 hep-th

N. Berkovits , M. Bershadsky , T. Hauer , S. Zhukov , B. Zwiebach This is my paper · ORCID
classification hep-th
keywords cosetsuperstringconformalmechanismmodelspacesautomorphismbackground
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We quantize the superstring on the AdS_2 x S^2 background with Ramond-Ramond flux using a PSU(1,1|2)/U(1) x U(1) sigma model with a WZ term. One-loop conformal invariance of the model is guaranteed by a general mechanism which holds for coset spaces G/H where G is Ricci-flat and H is the invariant locus of a Z_4 automorphism of G. This mechanism gives conformal theories for the PSU(1,1|2) x PSU(2|2)/SU(2) x SU(2) and PSU(2,2|4)/SO(4,1) x SO(5) coset spaces, suggesting our results might be useful for quantizing the superstring on AdS_3 x S^3 and AdS_5 x S^5 backgrounds.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 245 citations worldwide. Full citation record

  1. Covariant quantization of the superstring in $\rm AdS_3 \times S^3 \times T^4$ with mixed flux

    hep-th 2024-11 conditional novelty 7.0 of 10

    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.

  2. A note on the type II superstring vertex operators in the B-RNS-GSS formalism

    hep-th 2025-07 conditional novelty 5.0 of 10

    The paper constructs integrated and unintegrated vertex operators for the type II superstring in the B-RNS-GSS formalism, in flat spacetime and in AdS5 x S5.

  3. Supersymmetry bicomplex of pure spinor AdS background

    hep-th 2026-06 unverdicted novelty 4.0 of 10

    Uses bicomplex spectral sequences from BRST and Lie cohomology to constrain the representation of AdS supersymmetry algebra for deformations of AdS5 × S5 and clarify ghost number three zero modes.

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