GUE via Frobenius Manifolds. I. From Matrix Gravity to Topological Gravity and Back
Mathematical Physics
2022-05-04 v1 High Energy Physics - Theory
Algebraic Geometry
math.MP
Exactly Solvable and Integrable Systems
Abstract
Dubrovin establishes the relationship between the GUE partition function and the partition function of Gromov--Witten invariants of the complex projective line. In this paper, we give a direct proof of Dubrovin's result. We also present in a diagram the recent progress on topological gravity and matrix gravity.
Keywords
Cite
@article{arxiv.2205.01618,
title = {GUE via Frobenius Manifolds. I. From Matrix Gravity to Topological Gravity and Back},
author = {Di Yang},
journal= {arXiv preprint arXiv:2205.01618},
year = {2022}
}
Comments
24 pages