GUE via Frobenius Manifolds. II. Loop Equations
Mathematical Physics
2024-07-30 v1 math.MP
Abstract
A theorem of Dubrovin establishes the relationship between the GUE partition function and the partition function of Gromov-Witten invariants of the complex projective line. Based on this theorem we derive loop equations for the Gaussian Unitary Ensemble (GUE) partition function. We show that the GUE partition function is equal to part of the topological partition function of the non-linear Schr\"odinger (NLS) Frobenius manifold.
Keywords
Cite
@article{arxiv.2407.19170,
title = {GUE via Frobenius Manifolds. II. Loop Equations},
author = {Di Yang},
journal= {arXiv preprint arXiv:2407.19170},
year = {2024}
}
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20 pages