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/

Global: Zendy Plus annual

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

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We investigate the exact WKB method for the quantum Seiberg-Witten curve of4d $N=2$ pure $SU(3)$ Yang-Mills, in the language of abelianization. Therelevant differential equation is a third-order equation on $\mathbb{CP}^1$with two irregular singularities. We employ the exact WKB method to studysolutions to such a third-order equation and the associated Stokes phenomena.We also investigate the exact quantization condition for a certain spectralproblem. Moreover, exact WKB analysis leads us to consider new Darbouxcoordinates on a moduli space of flat SL(3,$\mathbb{C}$)-connections. Inparticular, in the weak coupling region we encounter coordinates of higherlength-twist type generalizing Fenchel-Nielsen coordinates. The Darbouxcoordinates are conjectured to admit asymptotic expansions given by the formalquantum periods series; we perform numerical analysis supporting thisconjecture.

Exact WKB and the quantum Seiberg-Witten curve for 4d $N=2$ pure $SU(3)$ Yang-Mills, Part I: Abelianization