• DOI:10.1007/JHEP11(2014)051
• Corpus ID: 43920718

Integrable S-matrices, massive and massless modes and the AdS2 × S2 superstring

@article{Hoare2014IntegrableSM,
  title={Integrable S-matrices, massive and massless modes and the AdS2 × S2 superstring},
  author={Ben Hoare and Antonio Pittelli and Alessandro Torrielli},
  journal={Journal of High Energy Physics},
  year={2014},
  volume={2014},
  pages={1-41}
}

• B. Hoare, A. Pittelli, A. Torrielli
• Published 1 July 2014
• Mathematics
• Journal of High Energy Physics

A bstractWe derive the exact S-matrix for the scattering of particular representations of the centrally-extended psu1|12$$ \mathfrak{p}\mathfrak{s}\mathfrak{u}{\left(1\Big|1\right)}^2 $$ Lie superalgebra, conjectured to be related to the massive modes of the light-cone gauge string theory on AdS2 × S2 × T6. The S-matrix consists of two copies of a centrally-extended psu1|1$$ \mathfrak{p}\mathfrak{s}\mathfrak{u}\left(1\Big|1\right) $$ invariant S-matrix and is in agreement with the tree-level result following from perturbation theory. Although the overall factor is left unfixed, the constraints following from crossing symmetry and unitarity are given. The scattering involves long representations of the symmetry algebra, and the relevant representation theory is studied in detail. We also discuss Yangian symmetry and find it has a standard form for a particular limit of the aforementioned representations. This has a natural interpretation as the massless limit, and we investigate the corresponding limits of the massive S-matrix. Under the assumption that the massless modes of the light-cone gauge string theory transform in these limiting representations, the resulting S-matrices would provide the building blocks for the full S-matrix. Finally, some brief comments are given on the Bethe ansatz.