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Spectral flow and string correlators in AdS3 × S3 × T4

  • Regular Article - Theoretical Physics
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  • Published: 30 January 2023
  • Volume 2023, article number 161, (2023)
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Journal of High Energy Physics Aims and scope Submit manuscript
Spectral flow and string correlators in AdS3 × S3 × T4
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  • Sergio Iguri1,2,
  • Nicolas Kovensky3 &
  • Julián H. Toro4 
  • 174 Accesses

  • 2 Citations

  • 2 Altmetric

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A preprint version of the article is available at arXiv.

Abstract

We consider three-point correlation functions for superstrings propagating in AdS3 × S3 × T4. In the RNS formalism, these generically involve correlators with current insertions. When vertex operators with non-trivial spectral flow charges are present, their complicated OPEs with the currents imply that standard methods can not be used to compute such correlators. Here we develop techniques for computing all m-basis correlators of the supersymmetric model. We then show how, in some cases, these results can be translated to the x-basis. We obtain a new family of holographic three-point functions involving spacetime chiral primaries living in spectrally flowed sectors of the worldsheet CFT. These match precisely the predictions from the holographic dual at the symmetric product orbifold point. Finally, we also consider long strings and compute the probability amplitude associated with the process describing the emission/absorption of fundamental string quanta.

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Authors and Affiliations

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

    Sergio Iguri

  2. Mathematics with Computer Science Program, Guangdong Technion, Israel Institute of Technology, 515063, Shantou, Guangdong, People’s Republic of China

    Sergio Iguri

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

    Nicolas Kovensky

  4. Instituto de Investigaciones Matemáticas Luis A. Santaló, CONICET and 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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  3. Julián H. Toro
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Correspondence to Nicolas Kovensky.

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ArXiv ePrint: 2211.02521

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Iguri, S., Kovensky, N. & Toro, J.H. Spectral flow and string correlators in AdS3 × S3 × T4. J. High Energ. Phys. 2023, 161 (2023). https://doi.org/10.1007/JHEP01(2023)161

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  • Received: 18 November 2022

  • Accepted: 20 December 2022

  • Published: 30 January 2023

  • DOI: https://doi.org/10.1007/JHEP01(2023)161

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Keywords

  • AdS-CFT Correspondence
  • Long Strings
  • Conformal Field Models in String Theory
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