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The quantum deformed mirror TBA II

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Abstract

We discuss the description of generic excited states in the quantum deformed AdS5 × S5 mirror thermodynamic Bethe ansatz and derive the associated Y-system. This Y-system shows an interesting new feature; it depends explicitly on the excited state under consideration. Similarly, it also depends on twisted boundary conditions. We construct the asymptotic solution of these TBA and Y-system equations by deriving the twisted transfer matrix for the quantum deformed Hubbard model and finding the deformed mirror bound state dressing phase. This asymptotic construction is insensitive to the precise nature of the deformation, and thereby provides a nontrivial check of the interesting new features which arise precisely at roots of unity.

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Authors and Affiliations

  1. Institute for Theoretical Physics and Spinoza Institute, Utrecht University, Leuvenlaan 4, 3584 CE, Utrecht, The Netherlands

    Gleb Arutyunov & Stijn J. van Tongeren

  2. ETH Zürich, Institut für Theoretische Physik, Wolfgang-Pauli-Str. 27, CH-8093, Zurich, Switzerland

    Marius de Leeuw

  3. Steklov Mathematical Institute, Moscow, Russia

    Gleb Arutyunov

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  1. Gleb Arutyunov
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  2. Marius de Leeuw
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  3. Stijn J. van Tongeren
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Arutyunov, G., de Leeuw, M. & van Tongeren, S.J. The quantum deformed mirror TBA II. J. High Energ. Phys. 2013, 12 (2013). https://doi.org/10.1007/JHEP02(2013)012

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