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Matrix models for stationary Gromov–Witten invariants of the Riemann sphere

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Bertola, M [Concordia University] Ruzza, Giulio [UCL]

Inspired by recent formulæ of Dubrovin, Yang, and Zagier, we interpret the tau function enumerating stationary Gromov-Witten invariants of P1 as an isomonodromic tau function associated with a difference equation. As a byproduct we obtain an analogue of the Kontsevich matrix model for this tau function. A connection with the Charlier ensemble is also considered.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2021
Language Anglais
Journal information "Nonlinearity" - Vol. 34, no.2, p. 1168-1196 (2021)
Peer reviewed yes
Publisher IOP Publishing
issn 0951-7715
e-issn 1361-6544
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Keywords Applied Mathematics ; General Physics and Astronomy ; Mathematical Physics ; Statistical and Nonlinear Physics
Links
Bibliographic reference Bertola, M ; Ruzza, Giulio. Matrix models for stationary Gromov–Witten invariants of the Riemann sphere. In: Nonlinearity, Vol. 34, no.2, p. 1168-1196 (2021)
Permanent URL http://hdl.handle.net/2078.1/255156