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Geometry of massless scattering in integrable superstring

  • Regular Article - Theoretical Physics
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  • Published: 24 June 2019
  • Volume 2019, article number 116, (2019)
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Geometry of massless scattering in integrable superstring
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  • A. Fontanella  ORCID: orcid.org/0000-0001-9446-07501 &
  • A. Torrielli2 

  • 299 Accesses

  • 21 Citations

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A preprint version of the article is available at arXiv.

Abstract

We consider the action of the q-deformed Poincaré superalgebra on the massless non-relativistic R-matrix in ordinary (undeformed) integrable AdS2 × S2 × T6 type IIB superstring theory. The boost generator acts non-trivially on the R-matrix, confirming the existence of a non-relativistic rapidity γ with respect to which the R-matrix must be of difference form. We conjecture that from a massless AdS/CFT integrable relativistic R-matrix one can obtain the parental massless non-relativistic R-matrix simply by replacing the relativistic rapidity with γ. We check our conjecture in ordinary (undeformed) AdSn × Sn × T10−2n, n = 2,3. In the case n = 3, we check that the matrix part and the dressing factor — up to numerical accuracy for real momenta — obey our prescription. In the n = 2 case, we check the matrix part and propose the non-relativistic dressing factor. We then start a programme of classifying R-matrices in terms of connections on fibre bundles. The conditions obtained for the connection are tested on a set of known integrable R-matrices.

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  1. Instituto de Física Teórica UAM/CSIC, C/Nicolás Cabrera, 13-15, C.U. Cantoblanco, E-28049, Madrid, Spain

    A. Fontanella

  2. Department of Mathematics, University of Surrey, Guildford, GU2 7XH, U.K.

    A. Torrielli

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Fontanella, A., Torrielli, A. Geometry of massless scattering in integrable superstring. J. High Energ. Phys. 2019, 116 (2019). https://doi.org/10.1007/JHEP06(2019)116

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  • Received: 09 April 2019

  • Accepted: 14 June 2019

  • Published: 24 June 2019

  • DOI: https://doi.org/10.1007/JHEP06(2019)116

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Keywords

  • Integrable Field Theories
  • AdS-CFT Correspondence
  • Quantum Groups
  • Supersymmetry and Duality
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