41 citations · 82 across the 7 of their papers we have counts for
7 papers
Dessins d'Enfants, Seiberg-Witten Curves and Conformal Blocks
Jiakang Bao, Omar Foda, Yang-Hui He +4
We show how to map Grothendieck's dessins d'enfants to algebraic curves as Seiberg-Witten curves, then use the mirror map and the AGT map to obtain the corresponding 4d $\mathcal{N…
Chiral Rings, Futaki Invariants, Plethystics, and Groebner Bases
Jiakang Bao, Yang-Hui He, Yan Xiao
We study chiral rings of 4d supersymmetric gauge theories via the notion of K-stability. We show that when using Hilbert series to perform the computations of Futak…
Quiver Mutations, Seiberg Duality and Machine Learning
Jiakang Bao, Sebastián Franco, Yang-Hui He +3
We initiate the study of applications of machine learning to Seiberg duality, focusing on the case of quiver gauge theories, a problem also of interest in mathematics in the contex…
Standard Model Plethystics
Yan Xiao, Yang-Hui He, Cyril Matti
We study the vacuum geometry prescribed by the gauge invariant operators of the MSSM via the Plethystic Programme. This is achieved by using several tricks to perform the highly co…
Flatness of Minima in Random Inflationary Landscapes
Yang-Hui He, Vishnu Jejjala, Luca Pontiggia +2
We study the likelihood which relative minima of random polynomial potentials support the slow-roll conditions for inflation. Consistent with renormalizability and boundedness, the…
A Comprehensive Survey of Brane Tilings
Sebastian Franco, Yang-Hui He, Chuang Sun +1
An infinite class of gauge theories can be engineered on the worldvolume of D3-branes probing toric Calabi-Yau 3-folds. This kind of setup has multiple applica…
Seiberg Duality, Quiver Gauge Theories, and Ihara Zeta Function
Da Zhou, Yan Xiao, Yang-Hui He
We study Ihara zeta function for graphs in the context of quivers arising from gauge theories, especially under Seiberg duality transformations. The distribution of poles is studie…