# Deconfinement phase transition in N=4 super Yang-Mills theory on R x S3 from supersymmetric matrix quantum mechanics.

@article{Ishiki2009DeconfinementPT,
title={Deconfinement phase transition in N=4 super Yang-Mills theory on R x S3 from supersymmetric matrix quantum mechanics.},
author={Goro Ishiki and Sang-Woo Kim and Jun Nishimura and Asato Tsuchiya},
journal={Physical review letters},
year={2009},
volume={102 11},
pages={
111601
}
}
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… Expand
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#### References

SHOWING 1-10 OF 73 REFERENCES
Thermodynamics of theories with sixteen supercharges in non-trivial vacua
• Physics
• 2007
We study the thermodynamics of maximally supersymmetric U(N) Yang-Mills theory on × S2 at large N. The model arises as a consistent truncation of = 4 super Yang-Mills on × S3 and as the continuumExpand
Anti-de Sitter Space, Thermal Phase Transition, And Confinement in Gauge Theories
The correspondence between supergravity (and string theory) on AdS space and boundary conformal eld theory relates the thermodynamics of N = 4 super Yang-Mills theory in four dimensions to theExpand
High temperature expansion in supersymmetric matrix quantum mechanics
• Physics
• 2007
We formulate the high temperature expansion in supersymmetric matrix quantum mechanics with 4, 8 and 16 supercharges. The models can be obtained by dimensionally reducing = 1 U(N) super Yang-MillsExpand
Fivebranes from gauge theory
• Physics
• 2006
We study theories with 16 supercharges and a discrete energy spectrum. One class of theories has symmetry group SU(2|4). They arise as truncations of N=4 super Yang-Mills theory. They include theExpand
Towards lattice simulation of the gauge theory duals to black holes and hot strings
• Physics
• 2007
A generalization of the AdS/CFT conjecture postulates a duality between IIA string theory and 16 supercharge Yang-Mills quantum mechanics in the large N 't Hooft limit. At low temperatures stringExpand
Black hole thermodynamics from simulations of lattice Yang-Mills theory
• Physics
• 2008
We report on lattice simulations of 16 supercharge SU(N) Yang-Mills quantum mechanics in the 't Hooft limit. Maldacena duality conjectures that in this limit the theory is dual to IIA string theory,Expand
The Hagedorn Transition, Deconfinement and N=4 SYM Theory
N=4 Super Yang–Mills theory supplies us with a non-Abelian 4D gauge theory with a meaningful perturbation expansion, both in the UV and in the IR. We calculate the free energy on a 3-sphere andExpand
N = 4 super Yang-Mills theory from the plane wave matrix model
• Physics
• 2008
We propose a nonperturbative definition of N=4 super Yang-Mills (SYM). We realize N=4 SYM on RxS{sup 3} as the theory around a vacuum of the plane wave matrix model. Our regularization preserves 16Expand
The Large-N Limit of Superconformal Field Theories and Supergravity
We show that the large-N limits of certainconformal field theories in various dimensions includein their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes,Expand
Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature.
• Physics, Medicine
• Physical review letters
• 2008
The Polyakov line asymptotes at low temperature to a characteristic behavior for a deconfined theory, suggesting the absence of a phase transition, providing highly nontrivial evidence for the gauge-gravity duality. Expand