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The bound state S-matrix of the deformed Hubbard chain

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Abstract

In this work we use the q-oscillator formalism to construct the atypical (short) supersymmetric representations of the centrally extended \( {\mathcal{U}_q}\left( {\mathfrak{s}\mathfrak{u}\left( {2|2} \right)} \right) \) algebra. We then determine the S-matrix describing the scattering of arbitrary bound states. The crucial ingredient in this derivation is the affine extension of the aforementioned algebra.

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Authors and Affiliations

  1. Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, 14476, Potsdam, Germany

    Marius de Leeuw

  2. School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia

    Takuya Matsumoto

  3. Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602, Japan

    Takuya Matsumoto

  4. Department of Mathematics, University of York, Heslington, York, YO10 5DD, UK

    Vidas Regelskis

  5. Institute of Theoretical Physics and Astronomy of Vilnius University, Goštauto 12, Vilnius, 01108, Lithuania

    Vidas Regelskis

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  1. Marius de Leeuw
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  2. Takuya Matsumoto
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  3. Vidas Regelskis
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Correspondence to Marius de Leeuw.

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ArXiv ePrint: 1109.1410

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de Leeuw, M., Matsumoto, T. & Regelskis, V. The bound state S-matrix of the deformed Hubbard chain. J. High Energ. Phys. 2012, 21 (2012). https://doi.org/10.1007/JHEP04(2012)021

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  • DOI: https://doi.org/10.1007/JHEP04(2012)021

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