title: Deconfinement phase transition in N=4 super Yang-Mills theory on R x S3 from supersymmetric matrix quantum mechanics.
abstract: We test the recent claim that supersymmetric matrix quantum mechanics with mass deformation preserving maximal supersymmetry can be used to study N=4 super Yang-Mills theory on R x S{3} in the planar limit. When the mass parameter is large, we can integrate out all of the massive fluctuations around a particular classical solution, which corresponds to R x S{3}. The resulting effective theory for the gauge field moduli at finite temperature reproduces the deconfinement phase transition in N=4 super Yang-Mills theory on R x S{3} at weak coupling. This transition was speculated to be a continuation of the conjectured phase transition at strong coupling, which corresponds to the Hawking-Page transition based on the gauge-gravity duality. At strong coupling, one can study the target theory by the new simulation method for supersymmetric matrix quantum mechanics.
authors.affiliation: Department of Physics, Osaka University, Toyonaka, Osaka 560-0043, Japan. ishiki@post.kek.jp
authors.forename: Goro
authors.initials: G
authors.lastname: Ishiki
authors.forename: Sang-Woo
authors.initials: SW
authors.lastname: Kim
authors.forename: Jun
authors.initials: J
authors.lastname: Nishimura
authors.forename: Asato
authors.initials: A
authors.lastname: Tsuchiya