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arXiv · 1407.0469

Attractive holographic $c$-functions

Arpan Bhattacharyya·S. Shajidul Haque·Vishnu Jejjala·Suresh Nampuri·Alvaro Véliz-Osorio
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Abstract

Using the attractor mechanism for extremal solutions in ${\cal N}=2$ gauged supergravity, we construct a $c$-function that interpolates between the central charges of theories at ultraviolet and infrared conformal fixed points corresponding to anti-de Sitter geometries. The $c$-function we obtain is couched purely in terms of bulk quantities and connects two different dimensional CFTs at the stable conformal fixed points under the RG flow.

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Arpan Bhattacharyya, S. Shajidul Haque, Vishnu Jejjala, Suresh Nampuri, Alvaro Véliz-Osorio. 2014-07-31. Attractive holographic $c$-functions. https://doi.org/10.1007/jhep11(2014)138

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