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On the massless modes of the AdS3/CFT2 integrable systems

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Abstract

We make a proposal for incorporating massless modes into the spin-chain of the AdS 3 /CF T 2 integrable system. We do this by considering the α → 0 limit of the alternating \( \mathfrak{d}{{\left( {2,1;\alpha } \right)}^2} \) spin-chain constructed in arXiv:1106.2558. In the process we encounter integrable spin-chains with non-irreducible representations at some of thei r sites. We investigate their properties and construct their R-matrices in terms of Yangians.

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Authors and Affiliations

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

    Olof Ohlsson Sax

  2. Centre for Mathematical Science, City University of London, Northampton Square, EC1V 0HB, London, U.K

    Bogdan Stefanski Jr

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

    Alessandro Torrielli

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  1. Olof Ohlsson Sax
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  2. Bogdan Stefanski Jr
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  3. Alessandro Torrielli
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Correspondence to Bogdan Stefanski Jr.

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ArXiv ePrint: 1211.1952

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Sax, O.O., Stefanski, B. & Torrielli, A. On the massless modes of the AdS3/CFT2 integrable systems. J. High Energ. Phys. 2013, 109 (2013). https://doi.org/10.1007/JHEP03(2013)109

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