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The all-loop integrable spin-chain for strings on AdS3 × S 3 × T 4: the massive sector

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Abstract

We bootstrap the all-loop dynamic S-matrix for the homogeneous \( \mathfrak{p}\mathfrak{s}\mathfrak{u} \)(1, 1|2)2 spin-chain believed to correspond to the discretization of the massive modes of string theory on AdS3 × S 3 × T 4. The S-matrix is the tensor product of two copies of the \( \mathfrak{s}\mathfrak{u} \)(1|1)2 invariant S-matrix constructed recently for the \( \mathfrak{d} \)(2, 1; α)2 chain, and depends on two anti-symmetric dressing phases. We write down the crossing equations that these phases have to satisfy. Furthermore, we present the corresponding Bethe Ansatz, which differs from the one previously conjectured, and discuss how our construction matches several recent perturbative calculations.

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Authors and Affiliations

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

    Riccardo Borsato, Olof Ohlsson Sax & Alessandro Sfondrini

  2. Centre for Mathematical Science, City University 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. Riccardo Borsato
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  2. Olof Ohlsson Sax
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  3. Alessandro Sfondrini
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  4. Bogdan Stefanski Jr
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  5. Alessandro Torrielli
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Correspondence to Olof Ohlsson Sax.

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ArXiv ePrint: 1303.5995

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Borsato, R., Sax, O.O., Sfondrini, A. et al. The all-loop integrable spin-chain for strings on AdS3 × S 3 × T 4: the massive sector. J. High Energ. Phys. 2013, 43 (2013). https://doi.org/10.1007/JHEP08(2013)043

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