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

Understand

We consider the $\mathcal{N}=2$ 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 $AdS_{5}\times S^{5}$.
• We analyze this gauge theory relying on the matrix model provided by localization a 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 $\lambda$.