Monte Carlo Approach to M-Theory
Werner Krauth, Hermann Nicolai, Matthias Staudacher
TL;DR
This paper uses Monte Carlo methods to evaluate partition functions of supersymmetric Yang-Mills theories reduced to zero dimensions, confirming known results for SU(2) and supporting conjectures for SU(3).
Contribution
It provides high-precision Monte Carlo calculations of SU(2) and SU(3) partition functions, validating existing exact results and conjectures in zero-dimensional supersymmetric Yang-Mills theory.
Findings
Successfully reproduces SU(2) partition function with high accuracy.
Finds close agreement of SU(3) results with Green and Gutperle's conjecture.
Supports the validity of the conjectured exact SU(N) partition functions.
Abstract
We discuss supersymmetric Yang-Mills theory dimensionally reduced to zero dimensions and evaluate the SU(2) and SU(3) partition functions by Monte Carlo methods. The exactly known SU(2) results are reproduced to very high precision. Our calculations for SU(3) agree closely with an extension of a conjecture due to Green and Gutperle concerning the exact value of the SU(N) partition functions.
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