{ "id": "1903.10767", "version": "v1", "published": "2019-03-26T10:02:24.000Z", "updated": "2019-03-26T10:02:24.000Z", "title": "Emergent Geometry of Matrix Models with Even Couplings", "authors": [ "Jian Zhou" ], "categories": [ "math-ph", "math.MP" ], "abstract": "We show that to the modified GUE partition function with even coupling introduced by Dubrovin, Liu, Yang and Zhang, one can associate $n$-point correlation functions in arbitrary genera which satisfy Eynard-Orantin topological recursions. Furthermore, these $n$-point functions are related to intersection numbers on the Deligne-Mumford moduli spaces.", "revisions": [ { "version": "v1", "updated": "2019-03-26T10:02:24.000Z" } ], "analyses": { "keywords": [ "matrix models", "emergent geometry", "deligne-mumford moduli spaces", "satisfy eynard-orantin topological recursions", "modified gue partition function" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }