5 papers
Machine Learning Topological Order from Defect Partition Functions
Kazem Bitaghsir Fadafan, Wei Cui, Babak Haghighat +1
We introduce a machine learning framework for extracting Ising topological order from defect partition functions of the two-dimensional Ising model on a torus. Restricted Boltzmann…
On the monodromy of KZ-connections with irregular singularities
Xia Gu, Babak Haghighat, Pavel Putrov
We study Knizhnik-Zamolodchikov (KZ) connection in the presence of irregular singularities, that is, poles of higher order. We consider both the case of a universal connection and…
Liouville CFT, Matrix Models and constrained WZW
Babak Haghighat
In this paper we study matrix model realizations of Liouville conformal blocks with degenerate and irregular operators. The corresponding matrix model is Hermitian with a -defo…
Irregular KZ equations and Kac-Moody representations
Sergei Gukov, Babak Haghighat, Yihua Liu +1
In this paper we construct irregular representations of the affine Kac-Moody algebra . We show how such irregular representations correspond to irregula…
Phase Transitions in Large Language Models and the Model
Youran Sun, Babak Haghighat
Large language models (LLMs) exhibit unprecedentedly rich scaling behaviors. In physics, scaling behavior is closely related to phase transitions, critical phenomena, and field the…