Solving the AdS/CFT Y-system

Details Solving the AdS/CFT Y-system Solving the AdS/CFT Y-system

2011-10-04

arxiv.org/abs/1110.0562v2

Physics

High Energy Physics

High Energy Physics - Theory

58 pages, 10 figures

Scientific paper

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.

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