# Attractive holographic c -functions

Bhattacharyya, Arpan (Centre for High Energy Physics, Indian Institute of Science, C.V. Raman Avenue, Bangalore, 560012, India) ; Haque, S. (National Institute for Theoretical Physics (NITheP), School of Physics and Center for Theoretical Physics, University of Witwatersrand, WITS 2050, Johannesburg, South Africa) ; Jejjala, Vishnu (National Institute for Theoretical Physics (NITheP), School of Physics and Center for Theoretical Physics, University of Witwatersrand, WITS 2050, Johannesburg, South Africa) ; Nampuri, Suresh (National Institute for Theoretical Physics (NITheP), School of Physics and Center for Theoretical Physics, University of Witwatersrand, WITS 2050, Johannesburg, South Africa) ; Véliz-Osorio, Álvaro (National Institute for Theoretical Physics (NITheP), School of Physics and Center for Theoretical Physics, University of Witwatersrand, WITS 2050, Johannesburg, South Africa)

28 November 2014

Abstract: Using the attractor mechanism for extremal solutions in N = 2 $\mathcal{N}=2$ 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.

Published in: JHEP 1411 (2014) 138