Hedgehog black holes and the Polyakov loop at strong coupling

Abstract

In N = 4 super-Yang-Mills theory at large N , large λ, and finite temperature, the value of the Wilson-Maldacena loop wrapping the Euclidean time circle (the PolyakovMaldacena loop, or PML) is computed by the area of a certain minimal surface in the dual supergravity background. This prescription can be used to calculate the free energy as a function of the… (More)

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