Exact results in a N = 2 superconformal gauge theory at strong coupling

• Published in: The journal of high energy physics 2021-07, Vol.2021 (7)
• Main Authors: Beccaria, M., Billò, M., Frau, M., Lerda, A., Pini, A.
• Format: Article
• Language: English
• Subjects: Algebra; Approximation; Classical and Quantum Gravitation; Coupling; Elementary Particles; Gauge theory; High energy physics; Lie groups; Localization; Matrices (mathematics); Monte Carlo simulation; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory
• ISSN: 1029-8479
• DOI: 10.1007/JHEP07(2021)185

A bstract We consider the N = 2 SYM theory with gauge group SU( N ) and a matter content consisting of one multiplet in the symmetric and one in the anti-symmetric representation. This conformal theory admits a large- N ’t Hooft expansion and is dual to a particular orientifold of AdS 5 × S 5 . We analyze this gauge theory relying on the matrix model provided by localization à la Pestun. Even though this matrix model has very non-trivial interactions, by exploiting the full Lie algebra approach to the matrix integration, we show that a large class of observables can be expressed in a closed form in terms of an infinite matrix depending on the ’t Hooft coupling λ . These exact expressions can be used to generate the perturbative expansions at high orders in a very efficient way, and also to study analytically the leading behavior at strong coupling. We successfully compare these predictions to a direct Monte Carlo numerical evaluation of the matrix integral and to the Padé resummations derived from very long perturbative series, that turn out to be extremely stable beyond the convergence disk | λ | < π 2 of the latter.