1 citations · 1 across the 8 of their papers we have counts for
8 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 -defor…
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…
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…
Foams and KZ-equations in Rozansky-Witten theories
Sergei Gukov, Babak Haghighat, Nicolai Reshetikhin
In this paper, we present a geometric description of foams, which are prevalent in topological quantum field theories (TQFTs) based on quantum algebra, and reciprocally explore the…
Irregular Fibonacci Conformal Blocks
Xia Gu, Babak Haghighat, Kevin Loo
This work studies Liouville conformal blocks of irregular type with the insertion of at least one level- degenerate field admitting a Fibonacci fusion rule. We algebraically der…
Flat Connections from Irregular Conformal Blocks
Babak Haghighat, Yihua Liu, Nicolai Reshetikhin
In this work we study Liouville conformal blocks with degenerate primaries and one operator in an irregular representation of the Virasoro algebra. Using an algebraic approach, we…