273 citations
- Université de BourgogneFR417 papers
- Centre National de la Recherche ScientifiqueFR227 papers
- Université Bourgogne Franche-ComtéFR51 papers
- Laboratoire de Mathématiques Blaise PascalFR17 papers
- Institut national de recherche en sciences et technologies du numériqueFR12 papers
- Sorbonne UniversitéFR12 papers
- Université Paris-SudFR12 papers
- Institut de Mathématiques de BordeauxFR11 papers
- Institut Montpelliérain Alexander GrothendieckFR10 papers
- Laboratoire de Mathématiques d'OrsayFR10 papers
- Laboratoire de Physique de l'ENS de LyonFR10 papers
- Laboratoire Interdisciplinaire Carnot de BourgogneFR10 papers
5 papers · 2 filters
The Schur Expansion of Characteristic Polynomials and Random Matrices
Taro Kimura, Edward A. Mazenc
We develop a new framework to compute the exact correlators of characteristic polynomials, and their inverses, in random matrix theory. Our results hold for general potentials and…
Reflexions on Mahler: Dessins, Modularity and Gauge Theories
Jiakang Bao, Yang-Hui He, Ali Zahabi
We provide a unified framework of Mahler measure, dessins d'enfants, and gauge theory. With certain physically motivated Newton polynomials from reflexive polygons, the Mahler meas…
Mahler Measure for a Quiver Symphony
Jiakang Bao, Yang-Hui He, Ali Zahabi
Adopting the Mahler measure from number theory, we introduce it to toric quiver gauge theories, and study some of its salient features and physical implications. We propose that th…
Intersecting Defects and Supergroup Gauge Theory
Taro Kimura, Fabrizio Nieri
We consider 5d supersymmetric gauge theories with unitary groups in the -background and study codim-2/4 BPS defects supported on orthogonal planes intersecting at the origin alo…
Unitary matrix models and random partitions: Universality and multi-criticality
Taro Kimura, Ali Zahabi
The generating functions for the gauge theory observables are often represented in terms of the unitary matrix integrals. In this work, the perturbative and non-perturbative aspect…