Extended Y-system for the $AdS_5/CFT_4$ correspondence
High Energy Physics - Theory
2015-03-17 v3 Mathematical Physics
math.MP
Abstract
We study the analytic properties of the Y functions. It is shown that the TBA equations, including the dressing factor, can be obtained from the Y-system with some additional information on the square-root discontinuities across semi-infinite segments in the complex plane. The Y-system extended by the discontinuity relations constitutes a fundamental set of local functional constraints that can be easily transformed into integral form through Cauchy's theorem.
Cite
@article{arxiv.1005.3016,
title = {Extended Y-system for the $AdS_5/CFT_4$ correspondence},
author = {Andrea Cavaglià and Davide Fioravanti and Roberto Tateo},
journal= {arXiv preprint arXiv:1005.3016},
year = {2015}
}
Comments
LaTeX2e, 42 pages, 7 figures. v2: 45 pages, references and a new appendix included, typos corrected. v3: minor typos corrected, references added