Form factors at strong coupling via a Y-system

Details Form factors at strong coupling via a Y-system Form factors at strong coupling via a Y-system

2010-09-06

arxiv.org/abs/1009.1139v1

JHEP 1011:104,2010

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1007/JHEP11(2010)104

We compute form factors in planar N=4 Super Yang-Mills at strong coupling. Namely we consider the overlap between an operator insertion and 2n gluons. Through the gauge/string duality these are given by minimal surfaces in AdS space. The surfaces end on an infinite periodic sequence of null segments at the boundary of AdS. We consider surfaces that can be embedded in AdS_3. We derive set of functional equations for the cross ratios as functions of the spectral parameter. These equations are of the form of a Y-system. The integral form of the Y-system has Thermodynamics Bethe Ansatz form. The area is given by the free energy of the TBA system or critical value of Yang-Yang functional. We consider a restricted set of operators which have small conformal dimension.

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