Thermal phase structure of a supersymmetric matrix model

D. Schaich, Raghav G. Jha, Anosh Joseph
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引用次数: 7

Abstract

We present initial results from ongoing lattice investigations into the thermal phase structure of the Berenstein--Maldacena--Nastase deformation of maximally supersymmetric Yang--Mills quantum mechanics. The phase diagram of the theory depends on both the temperature $T$ and the deformation parameter $\mu$, through the dimensionless ratios $T / \mu$ and $g \equiv \lambda / \mu^3$ with $\lambda$ the 't Hooft coupling. Considering couplings $g$ that span three orders of magnitude, we reproduce the weak-coupling perturbative prediction for the deconfinement $T / \mu$ and approach recent large-$N$ dual supergravity analyses in the strong-coupling limit. We are carrying out calculations with lattice sizes up to $N_{\tau} = 24$ and numbers of colors up to $N = 16$, to allow initial checks of the large-$N$ continuum limit.
超对称矩阵模型的热相结构
我们提出了对最大超对称杨-米尔斯量子力学的Berenstein- Maldacena- Nastase变形的热相结构进行的晶格研究的初步结果。理论的相图依赖于温度$T$和变形参数$\mu$,通过无因次比$T / \mu$和$g \equiv \lambda / \mu^3$与$\lambda$的t Hooft耦合。考虑到跨越三个数量级的耦合$g$,我们再现了定义$T / \mu$的弱耦合摄动预测,并在强耦合极限下接近最近的大- $N$双超重力分析。我们正在进行计算,晶格大小可达$N_{\tau} = 24$,颜色数量可达$N = 16$,以便对大- $N$连续体极限进行初步检查。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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