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The exact spectrum and mirror duality of the (AdS5 × S 5) η superstring

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Abstract

We discuss the spectrum of a string propagating on η-deformed AdS5 × S5 by treating its worldsheet theory as an integrable quantum field theory. The exact S-matrix of this field theory is given by a qdeformation of the AdS5 × S5 worldsheet S-matrix with a real deformation parameter. By considering mirror (double Wick-rotated) versions of these worldsheet theories, we give the thermodynamic Bethe ansatz description of their exact finite-size spectra. Interestingly, this class of models maps onto itself under the mirror transformation. At the string level, this seems to indicate that the light-cone worldsheet theories of strings on particular pairs of backgrounds are related by a double Wick rotation, a feature we call “mirror duality.” We provide a partial verification of these statements at the level of a sigma model by considering reduced actions and their corresponding (mirror) giant magnon solutions.

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Author information

Authors and Affiliations

  1. Institute for Theoretical Physics and Spinoza Institute, Utrecht University, Utrecht, The Netherlands

    G. E. Arutyunov

  2. Institute for Theoretical Physics, Hamburg University, Hamburg, Germany

    G. E. Arutyunov

  3. Steklov Mathematical Institute, Moscow, Russia

    G. E. Arutyunov

  4. ETH Zürich, Institut für Theoretische Physik, Zurich, Switzerland

    M. de Leeuw

  5. Institut für Mathematik und Institut für Physik, Humboldt-Universität zu Berlin, Berlin, Germany

    S. J. van Tongeren

Authors
  1. G. E. Arutyunov
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  2. M. de Leeuw
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  3. S. J. van Tongeren
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Corresponding author

Correspondence to G. E. Arutyunov.

Additional information

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 182, No. 1, pp. 28–64, January, 2014.

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Arutyunov, G.E., de Leeuw, M. & van Tongeren, S.J. The exact spectrum and mirror duality of the (AdS5 × S 5) η superstring. Theor Math Phys 182, 23–51 (2015). https://doi.org/10.1007/s11232-015-0243-9

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  • DOI: https://doi.org/10.1007/s11232-015-0243-9

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