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A dynamic \( su{(1|1)^2} \) S-matrix for AdS3/CFT2

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Abstract

We derive the S-matrix for the \( \mathfrak{d}{{\left( {2,\ 1;\ \alpha } \right)}^2} \) symmetric spin-chain of AdS3/CFT2 by considering the centrally extended \( su{(1|1)^2} \) algebra acting on the spin-chain excitations. The S-matrix is determined uniquely up to four scalar factors, which are further constrained by a set of crossing relations. The resulting scattering includes non-trivial processes between magnons of different masses that were previously overlooked.

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Authors and Affiliations

  1. Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, 3584 CE, Utrecht, The Netherlands

    Riccardo Borsato, Olof Ohlsson Sax & Alessandro Sfondrini

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  1. Riccardo Borsato
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  2. Olof Ohlsson Sax
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  3. Alessandro Sfondrini
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Correspondence to Olof Ohlsson Sax.

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ArXiv ePrint: 1211.5119

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Borsato, R., Sax, O.O. & Sfondrini, A. A dynamic \( su{(1|1)^2} \) S-matrix for AdS3/CFT2 . J. High Energ. Phys. 2013, 113 (2013). https://doi.org/10.1007/JHEP04(2013)113

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