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 present a prototype for Wilsonian analysis of asymptotics ofsupersymmetric partition functions of non-abelian gauge theories. Localizationallows expressing such partition functions as an integral over a BPS modulispace. When the limit of interest introduces a scale hierarchy in the problem,asymptotics of the partition function is obtained in the Wilsonian approach by$i)$ decomposing (in some suitable scheme) the BPS moduli space into variouspatches according to the set of light fields (lighter than the scheme dependentcut-off $\Lambda$) they support, $ii)$ localizing the partition function of theeffective field theory on each patch (with cut-offs set by the scheme), and$iii)$ summing up the contributions of all patches to obtain the finalasymptotic result (which is scheme-independent and accurate as$\Lambda\to\infty$). Our prototype concerns the Cardy-like asymptotics of the4d superconformal index, which has been of interest recently for itsapplication to black hole microstate counting in AdS$_5$/CFT$_4$. As abyproduct of our analysis we obtain the most general asymptotic expression forthe index of gauge theories in the Cardy-like limit, encompassing and extendingall previous results.

Decomposition of BPS Moduli Spaces and Asymptotics of Supersymmetric Partition Functions