Pohlmeyer reduction and Darboux transformations in Euclidean worldsheet AdS_3
High Energy Physics - Theory
2015-06-04 v2
Abstract
Pohlmeyer reduction has been instrumental both in the program for computing gluon scattering amplitudes at strong coupling, and more recently in the progress towards semiclassical three-point correlators of heavy operators in AdS/CFT. After a detailed review of the method, we combine it with Darboux and Crum transformations in order to obtain a class of string solutions corresponding to an arbitrary number of kinks and breathers of the elliptic sinh-Gordon equation. We also use our construction in order to identify the previously found dressed giant gluon with the single breather solution.
Cite
@article{arxiv.1203.3460,
title = {Pohlmeyer reduction and Darboux transformations in Euclidean worldsheet AdS_3},
author = {Georgios Papathanasiou},
journal= {arXiv preprint arXiv:1203.3460},
year = {2015}
}
Comments
29 pages. v2: references and clarifications added; to appear in JHEP