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Spectral flow and the exact AdS3/CFT2 chiral ring

  • Regular Article - Theoretical Physics
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  • Published: 08 August 2023
  • Volume 2023, article number 34, (2023)
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Spectral flow and the exact AdS3/CFT2 chiral ring
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  • Sergio Iguri1,
  • Nicolas Kovensky2 &
  • Julián H. Toro3 
  • 137 Accesses

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A preprint version of the article is available at arXiv.

Abstract

We compute all worldsheet three-point functions involving spectrally-flowed operators in chiral multiplets of the space-time theory for strings in AdS3×S3×T4, thus completing the analysis of the full AdS3/CFT2 chiral ring. We make use of techniques recently developed for the bosonic sector, based on holomorphic covering maps from the worldsheet to the AdS3 boundary. We highlight the role of the so-called series identifications when dealing with the complications originated by picture-changing spectrally-flowed states. We find an exact agreement with the predictions from the holographic CFT at the symmetric orbifold point.

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Acknowledgments

It is a pleasure to thank Davide Bufalini for discussions. The work of S.I. and J.H.T. is supported by CONICET. The work of N.K. is supported by the ERC Consolidator Grant 772408-Stringlandscape.

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Authors and Affiliations

  1. Instituto de Astronomía y Física del Espacio (IAFE) — CONICET and Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428, Buenos Aires, Argentina

    Sergio Iguri

  2. Institut de Physique Théorique, Université Paris Saclay, CEA, CNRS, Orme des Merisiers, 91191, Gif-sur-Yvette CEDEX, France

    Nicolas Kovensky

  3. Instituto de Investigaciones Matemáticas Luis A. Santaló, CONICET — Universidad de Buenos Aires, Ciudad Universitaria, 1428, Buenos Aires, Argentina

    Julián H. Toro

Authors
  1. Sergio Iguri
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  2. Nicolas Kovensky
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Correspondence to Nicolas Kovensky.

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ArXiv ePrint: 2304.08361

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Iguri, S., Kovensky, N. & Toro, J.H. Spectral flow and the exact AdS3/CFT2 chiral ring. J. High Energ. Phys. 2023, 34 (2023). https://doi.org/10.1007/JHEP08(2023)034

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  • Received: 02 May 2023

  • Revised: 18 July 2023

  • Accepted: 20 July 2023

  • Published: 08 August 2023

  • DOI: https://doi.org/10.1007/JHEP08(2023)034

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Keywords

  • AdS-CFT Correspondence
  • Conformal Field Models in String Theory
  • Supersymmetry and Duality
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