We study a class of flat bundles, of finite rank N, which arise naturally from the Donaldson–Thomas theory of a Calabi–Yau threefold via the notion of a variation of BPS structure. We prove that in a large N limit their flat sections converge to the solutions to certain infinite-dimensional Riemann–Hilbert problems recently found by Bridgeland. In particular this implies an expression for the positive degree, genus 0 Gopakumar–Vafa contribution to the Gromov–Witten partition function of in terms of solutions to confluent hypergeometric differential equations.
|Titolo:||Variations of BPS structure and a large rank limit|
|Autori:||Scalise, Jacopo Vittorio; Stoppa, Jacopo|
|Data di pubblicazione:||Being printed|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1017/S1474748019000136|
|Appare nelle tipologie:||1.1 Journal article|