PreprintarXiv licencearXiv
On Emergent Geometry of the Generalized BGW Theory
Abstract
We present a systematic study of the mathematical theory of the generalized Brézin-Gross-Witten (BGW) theory using methods from statistical physics. We prove the multidifferentials of the generalized BGW theory are given by the Eynard-Orantin topological recursion in a generic background with general coupling constants. Furthermore, we characterize the transition between the Witten-Kontsevich model and the generalized BGW theory. This approach yields a new proof of the Okuyama-Sakai conjecture, further elucidating the deep structural connections between these two fundamental models.
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BibTeX
@misc{xiong2026emergent,
title = {{On Emergent Geometry of the Generalized BGW Theory}},
author = {Dingkang Xiong and Jian Zhou},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01507},
eprint = {2611.01507},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01507},
}
RIS
TY - UNPB
TI - On Emergent Geometry of the Generalized BGW Theory
AU - Dingkang Xiong
AU - Jian Zhou
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01507
UR - https://arxiv.org/abs/2611.01507
AB - We present a systematic study of the mathematical theory of the generalized Brézin-Gross-Witten (BGW) theory using methods from statistical physics. We prove the multidifferentials of the generalized BGW theory are given by the Eynard-Orantin topological recursion in a generic background with general coupling constants. Furthermore, we characterize the transition between the Witten-Kontsevich model and the generalized BGW theory. This approach yields a new proof of the Okuyama-Sakai conjecture, further elucidating the deep structural connections between these two fundamental models.
ER -