Subleading corrections in $$ \mathcal{N} $$ = 3 Gaiotto-Tomasiello theory

Abstract

Abstract We study subleading corrections to the genus-zero free energy of the $$ \mathcal{N} $$ N = 3 Gaiotto-Tomasiello theory. In general, we obtain the endpoints and free energy as a set of parametric equations via contour integrals of the planar resolvent, up to exponentially suppressed corrections. In the particular case that the two gauge groups in the quiver are of equal rank, we find an explicit (perturbative) expansion for the free energy. If, additionally, both groups have equal levels, then we find the full expression for the genus-zero free energy, modulo exponentially suppressed corrections. We also verify our results numerically.