8 papers
Super Higher-Teichmüller Geometry and Loop Amplitudes
Chaoming Song
We construct a supersymmetric extension of the Fock-Goncharov cluster ensemble associated with a split basic classical Lie supergroup and a marked bordered surface . The res…
Nonperturbative Renormalization as Riemann-Hilbert Decomposition of Schwinger-Dyson D-Module
Chaoming Song
We present a non-perturbative formulation of renormalization by viewing the regularized Schwinger-Dyson hierarchy as a meromorphic connection, that is, as a D-module on the product…
Exact Ground States of Two Dimensional Spin Glasses
Chaoming Song
We derive exact analytical expressions for the ground-state energy and entropy of the two-dimensional Ising spin glass, uncovering a nested hierarchy of frustrations. Each…
A New Circle Theorem for Two Dimensional Ising Spin Glasses
Chaoming Song
The Lee-Yang circle theorem revolutionized our understanding of phase transitions in ferromagnetic systems by showing that the complex zeros of partition functions lie on the unit…
Quantifying the Dynamics of Innovation Abandonment Across Scientific, Technological, Commercial, and Pharmacological Domains
Binglu Wang, Ching Jin, Chaoming Song +3
Despite the vast literature on the diffusion of innovations that impacts a broad range of disciplines, our understanding of the abandonment of innovations remains limited yet is es…
Dynamical Phase Transitions in Non-equilibrium Networks
Jiazhen Liu, Nathaniel M. Aden, Debasish Sarker +1
Dynamical phase transitions (DPTs) characterize critical changes in system behavior occurring at finite times, providing a lens to study nonequilibrium phenomena beyond conventiona…