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arXiv · 1608.01631

Massless sector of AdS_3 superstrings: a geometric interpretation

Andrea Fontanella·Alessandro Torrielli
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Abstract

We study the recently discovered q-deformed Poincare' supersymmetry of the AdS_3/CFT_2 integrable massless scattering, and demonstrate how the S-matrix is invariant under boosts. The boost generator has a non-local coproduct, which acts on the scattering matrix as a differential operator, annihilating it. We propose to reinterpret the boost action in terms of covariant derivatives on bundles, and derive an expression for the S-matrix as the path-ordered exponential of a flat connection. We provide a list of possible alternative interpretations of this emergent geometric picture, including a one-dimensional auxiliary Schroedinger problem. We support our claims by performing a simplified algebraic Bethe ansatz, which bears some resemblance to antiferromagnets.

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Andrea Fontanella, Alessandro Torrielli. 2016-09-01. Massless sector of AdS_3 superstrings: a geometric interpretation. https://doi.org/10.1103/physrevd.94.066008

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