Speaker
Kiminad Mamo
(UIC/Stony Brook University)
Description
We study N=4 super Yang-Mills theory on the Coulomb branch (cSYM) in the strong coupling limit by using the AdS/CFT correspondence. The dual geometry is the rotating black 3-brane Type IIB supergravity solution with a single non-zero rotation parameter r_0 which sets a fixed mass scale corresponding to the scalar condensate <O>∼r^4_0 in the coulomb branch. We introduce a new ensemble where T and r_0 are held fixed, and show that r_0 plays a similar role as Λ_QCD. We compute the equation of state (EoS) of N=4 cSYM at finite T, as well as the heavy quark-antiquark potential V(L) and the quantized mass spectrum of the scalar and spin-2 glueballs at T=0. By computing the Wilson loop (minimal surface) at T=0, we determine the heavy quark-antiquark potential V(L) to be Cornell potential. At T≠0, we find two black hole branches: the large black hole and small black hole branches. For the large black hole branch, that has positive specific heat, we find qualitatively similar EoS to that of pure Yang-Mills theory on the lattice. For the small black hole branch, that has negative specific heat and Hawking radiate, we find an EoS where the entropy and energy densities decrease with T. Moreover, we show that the large and small black holes are connected to each other by a second-order phase transition. We conjecture that the small black hole branch should be identified as dual to a thermal gauge theory (N=4 cSYM) in its hadronizing phase. We argue that our conjecture naturally resolves the small black hole information paradox. We also propose a formula which relates the Hawking radiation rate with the thermal hadron emission rate, and in the hydrodynamic limit reduces to Cooper-Frye formula in the local frame.
Author
Kiminad Mamo
(UIC/Stony Brook University)
