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arXiv · 1110.0562

Solving the AdS/CFT Y-system

Nikolay Gromov·Vladimir Kazakov·Sebastien Leurent·Dmytro Volin
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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.

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Nikolay Gromov, Vladimir Kazakov, Sebastien Leurent, Dmytro Volin. 2012-07-11. Solving the AdS/CFT Y-system. https://doi.org/10.1007/jhep07(2012)023

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