Black-hole–black-string phase transitions in thermal (1 + 1)-dimensional supersymmetric Yang–Mills theory on a circle
By O. Aharony, J. Marsano, Shiraz Minwalla, T. Wiseman. 2004
169 citations recorded by the source corpus.
We review and extend earlier work that uses the AdS/CFT correspondence to relate the black-hole-black-string transition of gravitational theories on a circle to a phase transition in maximally supersymmetric (1 + 1)-dimensional SU(N) gauge theories at large N, again compactified on a circle. We perform gravity calculations to determine a likely phase diagram for the strongly coupled gauge theory. We then directly study the phase structure of the same gauge theory, now at weak 't Hooft coupling. In the interesting temperature regime for the phase transition, the (1 + 1)-dimensional theory reduces to a (0 + 1)-dimensional bosonic theory, which we solve using Monte Carlo methods. We find strong evidence that the weakly coupled gauge theory also exhibits a black hole-black string-like phase transition in the large N limit. We demonstrate that a simple Landau-Ginzburg-like model describes the behaviour near the phase transition remarkably well. The weak coupling transition appears to be close to the cusp between a first-order and a second-order transition.
Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/451c167fe0ab22d1b38d596972af809764bdbc15
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- The phase transition between caged black holes and black strings (2004, background): “This correspondence was first noted by Susskind (1997) [79] on a somewhat qualitative level and was fully analyzed quantitatively by Aharony-Marsano-Minwalla-Wiseman in [78].”
- AdS bubbles, entropy and closed string tachyons (2006, methodology): “This looks analogous to the behavior of the 2D maximally supersymmetric Yang-Mills pointed out in the paper [59], which relates the clumping phenomena to the Gregory-Laflamme black-hole/black string transition.”
- Towards lattice simulation of the gauge theory duals to black holes and hot strings (2007, background): “These conrm the previous expectation of a rapid crossover in the thermodynamic behavior of the system at some temperature which becomes a sharp phase transition as N ! 1 [ 33 , 34].”
- An Index for 4 Dimensional Super Conformal Theories (2005, background): “studies of Yang Mills theory on compact manifolds have studied such phase transitions, and related them to the nucleation of black holes in bulk duals [2,3,26,27,28,29,30,31].”