English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

Resurgent transseries have recently been shown to be a very powerfulconstruction in order to completely describe nonperturbative phenomena in bothmatrix models and topological or minimal strings. These solutions encode thefull nonperturbative content of a given gauge or string theory, whereresurgence relates every (generalized) multi-instanton sector to each other vialarge-order analysis. The Stokes phase is the adequate gauge theory phase wherean 't Hooft large N expansion exists and where resurgent transseries are mostsimply constructed. This paper addresses the nonperturbative study of Stokesphases associated to multi-cut solutions of generic matrix models, constructingnonperturbative solutions for their free energies and exploring the asymptoticlarge-order behavior around distinct multi-instanton sectors. Explicit formulaeare presented for the Z_2 symmetric two-cut set-up, addressing the cases of thequartic matrix model in its two-cut Stokes phase; the "triple" Penner potentialwhich yields four-point correlation functions in the AGT framework; and thePainleve II equation describing minimal superstrings.

The Resurgence of Instantons: Multi-Cut Stokes Phases and the Painleve II Equation