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arXiv 2103.05642hep-th
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N=2 SQCD中的大R电荷EFT关联函数

Large R-charge EFT correlators in N=2 SQCD

Simeon Hellerman, Domenico Orlando

摘要:

我们考虑了D=4维$\mathcal{N} = 2$超共形QCD中的大R电荷库仑支关联函数,规范群为$SU(2)$,超多重态为$N_f = 4$.利用超对称递归关系,S-对偶,EFT参数与双标度极限匹配的信息,我们给出了一个精确的公式,为无质量库仑分支EFT贡献的相关函数两点函数n.th手征环生成器,$G_{2n}^{\text{(EFT)}} = \frac{2^{4n}}{Z_{S^4}[τ]} Γ(2n + 5/2) e^{A[τ]n + B[τ]}$与$A[τ]$和$B[τ]$的权力给出的耦合常数$τ$的显式函数的封闭形式。我们注意到精确的协议的EFT公式与超对称本地化,即使在较低的$n$值,并讨论方面的后EFT剩余贡献的大质量粒子的宏观虚拟传播。

英文摘要:

We consider large-R-charge Coulomb branch correlation functions in $\mathcal{N} = 2$ superconformal QCD in D=4 dimensions, with gauge group $SU(2)$ and $N_f = 4$ hypermultiplets in the fundamental representation. Using information from supersymmetric recursion relations, S-duality, and matching of EFT parameters with the double-scaling limit, we give an exact formula for the massless Coulomb branch EFT contribution to the correlation function two-point functions of the n.th power of the chiral ring generator, $G_{2n}^{\text{(EFT)}} = \frac{2^{4n}}{Z_{S^4}[τ]} Γ(2n + 5/2) e^{A[τ]n + B[τ]}$ with $A[τ]$ and $B[τ]$ given as explicit functions of the coupling constant $τ$ in closed form. We note the precise agreement of the EFT formula with supersymmetric localization even at low values of $n$, and discuss aspects of the post-EFT remainder contributed by the macroscopic virtual propagation of massive particles.

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