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Massless sector of AdS3 superstrings: a geometric interpretation

Fontanella, A and Torrielli, A (2016) Massless sector of AdS3 superstrings: a geometric interpretation Physical Review D - Particles, Fields, Gravitation, and Cosmology, 94 (6).

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Abstract

We study the recently discovered q-deformed Poincare supersymmetry of the AdS3/CFT2 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 Schrodinger problem. We support our claims by performing a simplified algebraic Bethe ansatz, which bears some resemblance to antiferromagnets.

Item Type: Article
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Fontanella, AUNSPECIFIEDUNSPECIFIED
Torrielli, AUNSPECIFIEDUNSPECIFIED
Date : 21 September 2016
Identification Number : 10.1103/PhysRevD.94.066008
Copyright Disclaimer : © 2016 American Physical Society
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 07 Sep 2016 10:08
Last Modified : 26 Sep 2016 13:43
URI: http://epubs.surrey.ac.uk/id/eprint/812008

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