Álvarez Galindo, GabrielMartínez Alonso, LuisMedina, Elena2023-06-172023-06-172016-11-142470-001010.1103/PhysRevD.94.105010https://hdl.handle.net/20.500.14352/17738© 2016 American Physical Society. We wish to acknowledge the support of the Spanish Ministerio de Economía y Competitividad under Project No. FIS2015-63966-P.We give an exhaustive characterization of the complex saddle point configurations of the Gross-WittenWadia matrix model in the large-N limit. In particular, we characterize the cases in which the saddles accumulate in one, two, or three arcs, in terms of the values of the coupling constant and of the fraction of the total unit density that is supported in one of the arcs, and derive an explicit condition for gap closing associated with nonvacuum saddles. By applying the idea of large-N instanton we also give direct analytic derivations of the weak- coupling and strong-coupling instanton actions.engjournal articlehttp://dx.doi.org/10.1103/PhysRevD.94.105010https://journals.aps.orgopen access51-73Valued weight functionOrthogonal polynomialsPhase-transitionGravityFísica-Modelos matemáticosFísica matemática