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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We use supersymmetric localization to calculate correlation functions ofhalf-BPS local operators in 3d ${\cal N} = 4$ superconformal field theorieswhose Lagrangian descriptions consist of vectormultiplets coupled tohypermultiplets. The operators we primarily study are certain twisted linearcombinations of Higgs branch operators that can be inserted anywhere along agiven line. These operators are constructed from the hypermultiplet scalars.They form a one-dimensional non-commutative operator algebra with topologicalcorrelation functions. The 2- and 3-point functions of Higgs branch operatorsin the full 3d ${\cal N}=4$ theory can be simply inferred from the 1dtopological algebra. After conformally mapping the 3d superconformal fieldtheory from flat space to a round three-sphere, we preform supersymmetriclocalization using a supercharge that does not belong to any 3d ${\cal N} = 2$subalgebra of the ${\cal N}=4$ algebra. The result is a simple model that canbe used to calculate correlation functions in the 1d topological algebramentioned above. This model is a 1d Gaussian theory coupled to a matrix model,and it can be viewed as a gauge-fixed version of a topological gauged quantummechanics. Our results generalize to non-conformal theories on $S^3$ thatcontain real mass and Fayet-Iliopolous parameters. We also provide partialresults in the 1d topological algebra associated with the Coulomb branch, wherewe calculate correlation functions of local operators built from thevectormultiplet scalars.

A one-dimensional theory for Higgs branch operators