Correlators between Wilson loop and chiral operators in N=2$$ \mathcal{N}=2 $$ conformal gauge theories
Correlators between Wilson loop and chiral operators in N=2$$ \mathcal{N}=2 $$ conformal gauge theories
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N=2$$ mathcal{N}=2 $$ 共形规范理论中威尔逊环和手性算子之间的相关器
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
A. Lerda
中科院分区：
文献类型：
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作者：
M. Billò;F. Galvagno;P. Gregori;P. Gregori;A. Lerda
我们考虑了具有规范群SU（N）的共形N=2$ \mathcal{N}=2 $$ super Yang-Mills理论和Nf = 2N的基本超多重态，其中存在一个圆的1/2-BPS Wilson环.很自然地可以推测，描述该系统的期望值的矩阵模型也编码了Wilson环存在的手征标量算子的一点函数。我们成功地比较，在有限的N和两个循环的顺序，在场论中计算的一点函数与真空期望值的相应的正常有序的运营商在矩阵模型中，这一猜想的证据。对于这些表达式中具有超越性的部分，我们也得到了在大N极限下的结果，这些结果在t Hooft耦合λ下是精确的.
A bstractWe consider conformal N=2$$ \mathcal{N}=2 $$ super Yang-Mills theories with gauge group SU(N) and Nf = 2N fundamental hypermultiplets in presence of a circular 1/2-BPS Wilson loop. It is natural to conjecture that the matrix model which describes the expectation value of this system also encodes the one-point functions of chiral scalar operators in presence of the Wilson loop. We obtain evidence of this conjecture by successfully comparing, at finite N and at the two-loop order, the one-point functions computed in field theory with the vacuum expectation values of the corresponding normal-ordered operators in the matrix model. For the part of these expressions with transcendentality ζ(3), we also obtain results in the large-N limit that are exact in the ’t Hooft coupling λ.