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Bound states of the q-deformed AdS5×S5 superstring S-matrix

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Abstract

The investigation of the q deformation of the S-matrix for excitations on the string world sheet in AdS5 × S 5 is continued. We argue that due to the lack of Lorentz invariance the situation is more subtle than in a relativistic theory in that the nature of bound states depends on their momentum. At low enough momentum |p| < E the bound states transform in the anti-symmetric representation of the super-algebra symmetry and become the solitons of the Pohlmeyer reduced theory in the relativistic limit. At a critical momentum |p| = E they become marginally unstable, and at higher momenta the stable bound states are in the symmetric representation and become the familiar magnons in the string limit as q → 1. This subtlety fixes a problem involving the consistency of crossing symmetry with the relativistic limit found in earlier work. With mirror kinematics, obtained after a double Wick rotation, the bound state structure is simpler and there are no marginally unstable bound states.

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Authors and Affiliations

  1. Theoretical Physics Group, Blackett Laboratory, Imperial College, London, SW7 2AZ, U.K

    Ben Hoare

  2. Department of Physics, Swansea University, Swansea, SA2 8PP, U.K

    Timothy J. Hollowood

  3. Departamento de Fısica de Part´ıculas and IGFAE, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain

    J. Luis Miramontes

Authors
  1. Ben Hoare
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  2. Timothy J. Hollowood
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  3. J. Luis Miramontes
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Correspondence to Ben Hoare.

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Hoare, B., Hollowood, T.J. & Miramontes, J.L. Bound states of the q-deformed AdS5×S5 superstring S-matrix. J. High Energ. Phys. 2012, 76 (2012). https://doi.org/10.1007/JHEP10(2012)076

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  • DOI: https://doi.org/10.1007/JHEP10(2012)076

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