Black holes and universality classes of critical points

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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4 pages; v2: references added, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.100.171606

We argue that there exists an infinite class of conformal field theories in diverse dimensions, having a universal ratio of the central charge c to the normalized entropy density c'. The universality class includes all conformal theories which possess a classical gravity dual according to the AdS/CFT correspondence. From the practical point of view, the universality of c/c' provides an explicit test which can be applied to determine whether a given critical point may admit a dual description in terms of classical gravity.

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