Abstract
We first analyse the integrable scattering theory describing the massless excitations of AdS 2 × S 2 × T 6 superstrings in the relativistic limit. The matrix part of the S-matrix is obtained in the BMN limit from the conjectured exact expression, and compared to known S-matrices with \( \mathcal{N}=1 \) supersymmetry in 1 + 1 dimensions. A dressing factor, yet unknown for the complete theory, is here constructed based on relativistic crossing symmetry. We derive a Bethe-ansatz condition by employing a transfer-matrix technique based on the so-called free-fermion condition. This is known to overcome the problem of lack of a reference state. We then generalise the method to the massless non-relativistic case, and compare the resulting Bethe-ansatz condition with a simple massless limit of the one conjectured by Sorokin, Tseytlin, Wulff and Zarembo.
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ArXiv ePrint: 1706.02634
Dedicated to the memory of Professor Mario Tonin.
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Fontanella, A., Torrielli, A. Massless AdS 2 scattering and Bethe ansatz. J. High Energ. Phys. 2017, 75 (2017). https://doi.org/10.1007/JHEP09(2017)075
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DOI: https://doi.org/10.1007/JHEP09(2017)075