524 citations · 10.3k across the 134 of their papers we have counts for
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Unquenched flavor and tropical geometry in strongly coupled Chern-Simons-matter theories
Ricardo Couso Santamaria, Marcos Marino, Pavel Putrov
We study various aspects of the matrix models calculating free energies and Wilson loop observables in supersymmetric Chern-Simons-matter theories on the three-sphere. We first dev…
The uses of the refined matrix model recursion
Andrea Brini, Marcos Marino, Sebastien Stevan
We study matrix models in the beta ensemble by building on the refined recursion relation proposed by Chekhov and Eynard. We present explicit results for the first beta-deformed co…
From weak to strong coupling in ABJM theory
Nadav Drukker, Marcos Marino, Pavel Putrov
The partition function of N=6 supersymmetric Chern-Simons-matter theory (known as ABJM theory) on S^3, as well as certain Wilson loop observables, are captured by a zero dimensiona…
Direct Integration and Non-Perturbative Effects in Matrix Models
Albrecht Klemm, Marcos Marino, Marco Rauch
We show how direct integration can be used to solve the closed amplitudes of multi-cut matrix models with polynomial potentials. In the case of the cubic matrix model, we give expl…
Asymptotics of the instantons of Painleve I
Stavros Garoufalidis, Alexander Its, Andrei Kapaev +1
The 0-instanton solution of Painlevé I is a sequence of complex numbers which appears universally in many enumerative problems in algebraic geometry, graph theory, matr…
Quantization of classical integrable systems. Part IV: systems of resonant oscillators
M. Marino, N. N. Nekhoroshev
By applying methods already discussed in a previous series of papers by the same authors, we construct here classes of integrable quantum systems which correspond to n fully resona…