Thermodynamic Bubble Ansatz

Details Thermodynamic Bubble Ansatz Thermodynamic Bubble Ansatz

2009-11-24

arxiv.org/abs/0911.4708v3

JHEP 1109:032,2011

Physics

High Energy Physics

High Energy Physics - Theory

55 pages, 22 figures. v2: references added, V3: small typo fixed

Scientific paper

10.1007/JHEP09(2011)032

Motivated by the computation of scattering amplitudes at strong coupling, we consider minimal area surfaces in AdS_5 which end on a null polygonal contour at the boundary. We map the classical problem of finding the surface into an SU(4) Hitchin system. The polygon with six edges is the first non-trivial example. For this case, we write an integral equation which determines the area as a function of the shape of the polygon. The equations are identical to those of the Thermodynamics Bethe Ansatz. Moreover, the area is given by the free energy of this TBA system. The high temperature limit of the TBA system can be exactly solved. It leads to an explicit expression for a special class of hexagonal contours.

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