BPS wilson loops in generic conformal $$ \mathcal{N} $$ = 2 SU(N) SYM theories

BPS wilson loops in generic conformal $$ \mathcal{N} $$ = 2 SU(N) SYM theories
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通用共形 $$ mathcal{N} $$ = 2 SU(N) SYM 理论中的 BPS 威尔逊循环

DOI:
10.1007/jhep08(2019)108
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发表时间:
2019
影响因子:
5.4
通讯作者:
A. Lerda
A. Lerda
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
M. Billò;F. Galvagno;A. Lerda

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摘要 我们考虑通用的 1/2 BPS 圆形 Wilson 环 $$ \mathcal{N} $$ 氮 = 2 SU(N) SYM 理论,具有共形物质含量。我们使用定位结果提供的相互作用矩阵模型研究其在有限 N 和大 N 限制下的真空期望值。我们挑选出一些威尔逊环真空期望值接近的理论家族 $$ \mathcal{N} $$ 氮 = 4 导致大 N 极限,这与它们拥有简单的全息对偶这一事实相一致。在有限 N 和一般情况下,我们明确地将矩阵模型结果与高达 g 阶的场论微扰展开进行比较 8 对于与黎曼值 ζ (5) 成正比的项,找到完美的一致性。按照矩阵模型结构的建议组织费曼图对于这种计算来说非常方便。
Abstract We consider the 1/2 BPS circular Wilson loop in a generic $$ \mathcal{N} $$ N = 2 SU(N) SYM theory with conformal matter content. We study its vacuum expectation value, both at finite N and in the large-N limit, using the interacting matrix model provided by localization results. We single out some families of theories for which the Wilson loop vacuum expectation values approaches the $$ \mathcal{N} $$ N = 4 result in the large-N limit, in agreement with the fact that they possess a simple holographic dual. At finite N and in the generic case, we explicitly compare the matrix model result with the field-theory perturbative expansion up to order g 8 for the terms proportional to the Riemann value ζ (5), finding perfect agreement. Organizing the Feynman diagrams as suggested by the structure of the matrix model turns out to be very convenient for this computation.
DOI: 10.1007/jhep06(2016)078
发表时间: 2015-11
影响因子: 5.4
作者:
V. Mitev;E. Pomoni
通讯作者: V. Mitev;E. Pomoni