One dimensional supersymmetric Yang-Mills theory with 16 supercharges

One dimensional supersymmetric Yang-Mills theory with 16 supercharges
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具有 16 个增压的一维超对称 Yang-Mills 理论

DOI:
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发表时间:
2012
期刊:
影响因子:
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通讯作者:
S. Kamata
S. Kamata
中科院分区:
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文献类型:
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作者:
D. Kadoh;S. Kamata

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利用两个精确超荷的晶格作用量,对一维最大超对称SU(N)Yang-Mills理论进行了数值模拟。基于规范/引力对偶性,规范理论在有限温度下对应于IIA型超弦理论中的N个D0膜系。我们的目标是通过比较规范侧的结果和重力侧的解析解,从数值上验证规范/重力的对偶性。首先,通过对超对称Ward-Takahashi关系的研究,我们证明了超对称破缺效应在连续极限中为零,并且我们的晶格理论存在理想的连续极限。然后,我们发现,在低温下,由我们的数据得到的黑洞内能接近于引力面的解析解。这表明了这种二元性的有效性。
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.
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发表时间: 2007
影响因子: 5.4
作者:
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通讯作者: Catterall S
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DOI: 10.1103/physrevd.78.041502
发表时间: 2008
期刊: Physical Review D
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