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arXiv · 1009.5768

New Perspectives on Attractor Flows and Trees from CFT

Suresh Nampuri·Masoud Soroush
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Abstract

In this note, we use the first order formalism for attractor flows in N=2 SUGRA extremal black hole backgrounds to establish a formal correspondence between the RG flow of moduli in the underlying N=(2,2) SCFT and bulk attractor flows. Starting from a study of moduli flow trajectories in the CFT, we derive a potential which generates the aforesaid flow. This potential is shown to be a symplectic invariant with the same form as the black hole potential which drives the attractor flows in the bulk. We use these results to make comments on the non-renormalization of extremal black hole entropy and indicate a similar correspondence for two-centered forked flows in CFT.

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Suresh Nampuri, Masoud Soroush. 2011-10-24. New Perspectives on Attractor Flows and Trees from CFT. https://arxiv.org/abs/1009.5768

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