One dimensional supersymmetric Yang-Mills theory with 16 supercharges

Abstract

We report on numerical simulations of one dimensional maximally supersymmetric SU(N) Yang-Mills theory, by using the lattice action with two exact supercharges. Based on the gauge/gravity duality, the gauge theory corresponds to N D0-branes system in type IIA superstring theory at finite temperature. We aim to verify the gauge/gravity duality numerically by comparing our results of the gauge side with analytic solutions of the gravity side. First of all, by examining the supersymmetric Ward-Takahashi relation, we show that supersymmetry breaking effects from the cut-off vanish in the continuum limit and our lattice theory has the desired continuum limit. Then, we find that, at low temperature, the black hole internal energy obtained from our data is close to the analytic solution of the gravity side. It suggests the validity of the duality.

7 pages, 3 figures, talk presented at "The 30th International Symposium on Lattice Field Theory", June 24 - 29, 2012, Cairns, Australia

References in corpus (8)

• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Black hole thermodynamics from simulations of lattice Yang-Mills theory
• A Euclidean Lattice Construction of Supersymmetric Yang-Mills Theories with Sixteen Supercharges
• A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry
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• Monte Carlo studies of Matrix theory correlation functions
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Cited by in corpus (5)

• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• Review of Lattice Supersymmetry and Gauge-Gravity Duality
• Quantum M-wave and Black 0-brane
• Recent results in large-N lattice gauge theories
• Moduli dynamics as a predictive tool for thermal maximally supersymmetric Yang-Mills at large N