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Massless AdS2 scattering and Bethe Ansatz

Fontanella, Andrea and Torrielli, Alessandro (2017) Massless AdS2 scattering and Bethe Ansatz Journal of High Energy Physics, 75.

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Abstract

We first analyse the integrable scattering theory describing the massless excitations of AdS2 x S2 x T6 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 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.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Fontanella, Andreaa.fontanella@surrey.ac.ukUNSPECIFIED
Torrielli, Alessandroa.torrielli@surrey.ac.ukUNSPECIFIED
Date : 18 September 2017
Identification Number : 10.1007/JHEP09(2017)075
Copyright Disclaimer : Copyright 2017 The Author(s). Published under a Creative Commons 4.0 license
Uncontrolled Keywords : Bethe Ansatz; Integrable Field Theories; Supersymmetry; AdS-CFT Correspondence
Related URLs :
Depositing User : Clive Harris
Date Deposited : 30 Aug 2017 12:51
Last Modified : 22 Sep 2017 13:29
URI: http://epubs.surrey.ac.uk/id/eprint/842083

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