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

In this note we construct rigidly supersymmetric gauged sigma models andgauge theories on certain Einstein four-manifolds, and discuss constraints onthese theories. In work elsewhere, it was recently shown that on somenontrivial Einstein four-manifolds such as AdS$_4$, N=1 rigidly supersymmetricsigma models are constrained to have target spaces with exact K\"ahler forms.Similarly, in gauged sigma models and gauge theories, we find thatsupersymmetry imposes constraints on Fayet-Iliopoulos parameters, which havethe effect of enforcing that K\"ahler forms on quotient spaces be exact. Wealso discuss general aspects of universality classes of gauged sigma models, asencoded by stacks, and also discuss affine bundle structures implicit in theseconstructions.

Rigidly Supersymmetric Gauge Theories on Curved Superspace