论文标题
确切的强耦合结果$ \ cal n $ = 2 $ sp（2n）$ intrization的超规格理论
Exact strong coupling results in $\cal N$=2 $Sp(2N)$ superconformal gauge theory from localization
论文作者
论文摘要
我们应用本地化技术来计算四维$ \ cal n $ = 2 super-Con-grom $ sp（2n）$ sp（2n）$量学理论，在四维$ \ cal n $ = 2中计算循环bps wilson循环，该理论包含矢量多重组，在基本表示和一级超强级别中，在级别表示中耦合了四个超强型。该理论在类似的$ \ cal n $ = 2超符合模型中是独一无二的，这些模型与$ \ cal n $ = 4 sym等效，因为相应的本地化矩阵模型具有仅包含单个跟踪项的相互作用势。我们利用此属性来表明，以大$ n $扩展中的任何订单以及任意的't Hooft耦合$λ$，自由能和Wilson Loop满足Toda Lattice方程。以强耦合求解这些方程式，我们发现这些可观察到的表达式非常简单，其中包括$ 1/n $和$ 1/\sqrtλ$的所有校正。我们还计算了指数指数抑制的$ {\ cal o}（e^{ - \sqrtλ}）$校正，并考虑对基本超多数具有非零质量的情况。此$ \ cal n $ = 2量规理论的字符串理论二重要应该是AD $ _5 \ times s^5 $ type IIB字符串的特定方向，我们讨论了获得的强耦合结果的字符串理论解释。
We apply the localization technique to compute the free energy on four-sphere and the circular BPS Wilson loop in the four-dimensional $\cal N$=2 superconformal $Sp(2N)$ gauge theory containing vector multiplet coupled to four hypermultiplets in fundamental representation and one hypermultiplet in rank-2 antisymmetric representation. This theory is unique among similar $\cal N$=2 superconformal models that are planar-equivalent to $\cal N$=4 SYM in that the corresponding localization matrix model has the interaction potential containing single-trace terms only. We exploit this property to show that, to any order in large $N$ expansion and an arbitrary 't Hooft coupling $λ$, the free energy and the Wilson loop satisfy Toda lattice equations. Solving these equations at strong coupling, we find remarkably simple expressions for these observables which include all corrections in $1/N$ and $1/\sqrtλ$. We also compute the leading exponentially suppressed ${\cal O}(e^{-\sqrtλ})$ corrections and consider a generalization to the case when the fundamental hypermultiplets have a non-zero mass. The string theory dual of this $\cal N$=2 gauge theory should be a particular orientifold of AdS$_5 \times S^5$ type IIB string and we discuss the string theory interpretation of the obtained strong-coupling results.
