Massless sector of AdS_3 superstrings: a geometric interpretation
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.
Keywords
Cite
@article{arxiv.1608.01631,
title = {Massless sector of AdS_3 superstrings: a geometric interpretation},
author = {Andrea Fontanella and Alessandro Torrielli},
journal= {arXiv preprint arXiv:1608.01631},
year = {2016}
}
Comments
REVTeX, 9 pages; no figures; v2: references added; v3: typo corrected