4 papers
Extended Heun Hierarchy in Quantum Seiberg-Witten Geometry
Peng Yang, Yi-Rong Wang, Kilar Zhang
We investigate the quantum geometry of the Seiberg-Witten curve for , linear quiver gauge theories. By applying the Weyl quantization prescription…
Representations of binary forms by quaternary quadratic forms
Wooyeon Kim, Andreas Wieser, Pengyu Yang
We prove a local-global principle for representations of binary by quaternary quadratic forms. One of the main ingredients is a recent measure rigidity result of Einsiedler and Lin…
Topological Defect Formation Beyond the Kibble-Zurek Mechanism in Crossover Transitions with Approximate Symmetries
Peng Yang, Chuan-Yin Xia, Sebastian Grieninger +2
The formation of topological defects during continuous second-order phase transitions is well described by the Kibble-Zurek mechanism (KZM). However, when the spontaneously broken…
Stochastic Calculus and Hochschild Homology
Si Li, Zichang Wang, Peng Yang
This paper is a case study of probabilistic approach to homological aspects of topological quantum field theory via the example of topological quantum mechanics. We propose topolog…