TL;DR
This paper reviews critical phenomena in black holes within the AdS/CFT framework, highlighting differences in static and dynamic critical exponents between R-charged black holes and holographic superconductors, and their relation to condensed matter physics.
Contribution
It provides a comparative analysis of static and dynamic critical phenomena in different black hole models, linking gravitational systems to condensed matter universality classes.
Findings
Holographic superconductors exhibit mean-field static critical exponents.
R-charged black holes have unconventional static critical exponents.
Holographic superconductors belong to model A, R-charged black holes to model B in dynamic universality classes.
Abstract
We review black holes with second-order phase transition in string theory (R-charged black holes and holographic superconductors) and review their static and dynamic critical phenomena. Holographic superconductors have conventional mean-field values for static critical exponents, but R-charged black holes have unconventional ones. For dynamic universality class, holographic superconductors belong to model A, and R-charged black holes belong to model B in the classification of Hohenberg and Halperin. The analysis suggests that some black holes do obey the theory of critical phenomena in condensed matter physics.
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