Extended Y-system for the $AdS_5/CFT_4$ correspondence

Details Extended Y-system for the $AdS_5/CFT_4$ correspondence Extended Y-system for the $AdS_5/CFT_4$ correspondence

2010-05-17

arxiv.org/abs/1005.3016v3

Nucl.Phys.B843:302-343,2011

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 42 pages, 7 figures. v2: 45 pages, references and a new appendix included, typos corrected. v3: minor typos corrected

Scientific paper

10.1016/j.nuclphysb.2010.09.015

We study the analytic properties of the $AdS_5/CFT_4$ 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.

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