The all-loop integrable spin-chain for strings on AdS3 × S3 × T4: the massive sector

By R. Borsato, O. O. Sax, Alessandro Sfondrini, B. Stefański, A. Torrielli. 2013

133 citations recorded by the source corpus.

A bstractWe 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 × S3 × T4. 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.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/dea9cb21070a1e1a9472c239aa86dca5ff0a0a48

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In Nuclear and High Energy Physics

1. Alessandro Sfondrini
2. B. Stefański
3. O. O. Sax
4. Thomas Lloyd

In Statistical and Nonlinear Physics

1. Alessandro Sfondrini
2. B. Stefański
3. Thomas Lloyd
4. O. O. Sax

Citations in the corpus

• The complete worldsheet S matrix of superstrings on AdS3×S3×T4 with mixed three-form flux (2014, methodology): “R |ψRi, Q R |ψ Ri = ¯aR |φRi. (3.16) Two more representations, which we denote by e L and e R, can be obtained from the ones above by exchanging bosons with fermions. As discussed in detail in ref. [24], appropriate tensor products of pairs of these representations are isomorphic to the psu(1|1)4 c.”