Ruppeiner curvature along a renormalization group flow

Yerra, Pavan Kumar; Bhamidipati, Chandrasekhar

doi:10.1016/j.physletb.2021.136450

Ruppeiner curvature along a renormalization group flow

Jul 22, 2020

6 pages

Published in:

Phys.Lett.B 819 (2021) 136450

Published: Jun 15, 2021
and
Published: Aug 10, 2021

e-Print:

2007.11515 [hep-th]

DOI:

10.1016/j.physletb.2021.136450 (publication)

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Abstract: (Elsevier B.V.)

We report on an investigation of Ruppeiner curvature

R_{U}

for

(d + 1)

-dimensional hyperbolic black holes in anti-de Sitter spacetimes and its connection with Renormalization Group (RG) flows in the dual d-dimensional conformal field theories (CFTs) in Minkowski spacetimes. A repulsive type interaction among microstructures is found, which is weaker for positive mass black holes and grows stronger for negative mass black holes at low temperatures. In particular, we show that

R_{U}

evaluated along a zero mass curve is a universal constant, depending only on the dimension of space-time. The extremal black holes are pointed out to have a positive Ruppeiner curvature irrespective of their horizon topology.

Note:

v3:6 pages,3 figures; substantially revised version, to appear in PLB

field theory: conformal
renormalization group: flow
curvature: thermodynamical
space-time: anti-de Sitter
space-time: dimension
space-time: Minkowski
duality: holography
black hole: mass
any-dimensional
phase space

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Figures(5)

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