339 citations · 6k across the 162 of their papers we have counts for
10 papers · 1 filter
Superconformal Block Quivers, Duality Trees and Diophantine Equations
Amihay Hanany, Yang-Hui He, Chuang Sun +1
We generalize previous results on N=1, (3+1)-dimensional superconformal block quiver gauge theories. It is known that the necessary conditions for a theory to be superconformal, i.…
Modular Subgroups, Dessins d'Enfants and Elliptic K3 Surfaces
Yang-Hui He, John McKay, James Read
We consider the 33 conjugacy classes of genus zero, torsion-free modular subgroups, computing ramification data and Grothendieck's dessins d'enfants. In the particular case of the…
Bipartita: Physics, Geometry & Number Theory
Yang-Hui He
Bipartite graphs, especially drawn on Riemann surfaces, have of late assumed an active role in theoretical physics, ranging from MHV scattering amplitudes to brane tilings, from di…
Numerical Analyses on Moduli Space of Vacua
Jonathan Hauenstein, Yang-Hui He, Dhagash Mehta
We propose a new computational method to understand the vacuum moduli space of (supersymmetric) field theories. By combining numerical algebraic geometry (NAG) and elimination theo…
Quiver Structure of Heterotic Moduli
Yang-Hui He, Seung-Joo Lee
We analyse the vector bundle moduli arising from generic heterotic compactifications from the point of view of quiver representations. Phenomena such as stability walls, crossing b…
Calabi-Yau Manifolds with Large Volume Vacua
James Gray, Yang-Hui He, Vishnu Jejjala +3
We describe an efficient, construction independent, algorithmic test to determine whether Calabi--Yau threefolds admit a structure compatible with the Large Volume moduli stabiliza…
Brane Geometry and Dimer Models
Yang-Hui He, Vishnu Jejjala, Diego Rodriguez-Gomez
The field content and interactions of almost all known gauge theories in AdS_5/CFT_4 can be expressed in terms of dimer models or bipartite graphs drawn on a torus. Associated with…
Towards the Continuous Limit of Cluster Integrable Systems
Sebastian Franco, Daniele Galloni, Yang-Hui He
We initiate the study of how to extend the correspondence between dimer models and (0+1)-dimensional cluster integrable systems to (1+1) and (2+1)-dimensional continuous integrable…
Numerical Algebraic Geometry: A New Perspective on String and Gauge Theories
Dhagash Mehta, Yang-Hui He, Jonathan D. Hauenstein
The interplay rich between algebraic geometry and string and gauge theories has recently been immensely aided by advances in computational algebra. However, these symbolic (Gröbner…
N=2 Gauge Theories: Congruence Subgroups, Coset Graphs and Modular Surfaces
Yang-Hui He, John McKay
We establish a correspondence between generalized quiver gauge theories in four dimensions and congruence subgroups of the modular group, hinging upon the trivalent graphs which ar…