Solving the AdS/CFT Y-system
High Energy Physics - Theory
2012-07-12 v3 Mathematical Physics
math.MP
Abstract
Using integrability and analyticity properties of the AdS5/CFT4 Y-system we reduce it to a finite set of nonlinear integral equations. The Z4 symmetry of the underlying coset sigma model, in its quantum version, allows for a deeper insight into the analyticity structure of the underlying Y-functions and T-functions, as well as for their analyticity friendly parameterization in terms of Wronskian determinants of Q-functions. As a check for the new equations, we reproduce the numerical results for the Konishi operator previously obtained from the original infinite Y-system.
Keywords
Cite
@article{arxiv.1110.0562,
title = {Solving the AdS/CFT Y-system},
author = {Nikolay Gromov and Vladimir Kazakov and Sebastien Leurent and Dmytro Volin},
journal= {arXiv preprint arXiv:1110.0562},
year = {2012}
}
Comments
62 pages, 11 figures; version 3: published version