Ruppeiner curvature along a renormalization group flow

Ruppeiner curvature along a renormalization group flow

Blog Article

We report on an investigation of Ruppeiner curvature RU for (d+1)-dimensional hyperbolic black holes in anti-de Sitter spacetimes and its connection with Renormalization Baby Toys 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 RU evaluated along a zero mass curve is a universal constant, depending only on the dimension of space-time.The extremal black Clutch Solenoid holes are pointed out to have a positive Ruppeiner curvature irrespective of their horizon topology.