12 citations · 75 across the 16 of their papers we have counts for
17 papers
Mahler Measuring the Genetic Code of Amoebae
Siqi Chen, Yang-Hui He, Edward Hirst +2
Amoebae from tropical geometry and the Mahler measure from number theory play important roles in quiver gauge theories and dimer models. Their dependencies on the coefficients of t…
Universal Cusp Scaling in Random Partitions
Taro Kimura, Ali Zahabi
We study the universal scaling limit of random partitions obeying the Schur measure. Extending our previous analysis [arXiv:2012.06424], we obtain the higher-order Pearcey kernel d…
Crystal Melting, BPS Quivers and Plethystics
Jiakang Bao, Yang-Hui He, Ali Zahabi
We study the refined and unrefined crystal/BPS partition functions of D6-D2-D0 brane bound states for all toric Calabi-Yau threefolds without compact 4-cycles and some non-toric ex…
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…
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…