arXiv:1910.01606 [math-ph]AbstractReferencesReviewsResources
Holonomy and resurgence for partition functions
Frédéric Fauvet, Frédéric Menous, Julien Queva
Published 2019-10-03Version 1
We describe the resurgence properties of some partition functions corresponding to Field theories in dimension 0. We show that these functions satisfy linear differential equations with polynomial coefficients and then use elementary stability results for holonomic functions to prove resurgence properties, enhancing previously known results on growth estimates for the formal series involved, which had been obtained through a delicate combinatorics.
Related articles: Most relevant | Search more
arXiv:1909.06934 [math-ph] (Published 2019-09-16)
A class of partition functions associated with $E_{τ,γ}(gl_3)$ by Izergin-Korepin analysis
arXiv:1303.2265 [math-ph] (Published 2013-03-09)
On Partition Functions of Hyperbolic Three-Geometry and Associated Hilbert Schemes
arXiv:1709.06500 [math-ph] (Published 2017-09-19)
Duality for metaplectic ice