Exact strong coupling results in $N$=2 $Sp(2N)$ superconformal gauge theory from localization - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of High Energy Physics Année : 2023

Exact strong coupling results in $N$=2 $Sp(2N)$ superconformal gauge theory from localization

Résumé

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 $\lambda$, 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 $1/\sqrt{\lambda}$. We also compute the leading exponentially suppressed ${\cal O}(e^{-\sqrt{\lambda}})$ 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.

Dates et versions

hal-03850669 , version 1 (14-11-2022)

Identifiants

Citer

M. Beccaria, G.P. Korchemsky, A.A. Tseytlin. Exact strong coupling results in $N$=2 $Sp(2N)$ superconformal gauge theory from localization. Journal of High Energy Physics, 2023, 01, pp.037. ⟨10.1007/JHEP01(2023)037⟩. ⟨hal-03850669⟩
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