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 study weak coupling perturbative series in 4d N=2 and 5d N=1supersymmetric gauge theories with Lagrangians. We prove that the perturbativeseries of these theories in zero instanton sector are Borel summable forvarious observables. Our result for 4d $\mathcal{N}=2$ case supports anexpectation from a recent proposal on a semiclassical realization of infraredrenormalons in QCD-like theories, where the semiclassical solution does notexist in N=2 theories and the perturbative series are unambiguous, namely Borelsummable. We also prove that the perturbative series in arbitrary number ofinstanton sector are Borel summable for a wide class of theories. It turns outthat exact results can be obtained by summing over the Borel resummations ineach number of instanton sector.

Borel summability of perturbative series in 4d N=2 and 5d N=1 theories