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

In this paper we construct the subset of modes on $S^7$ that are relevant inthe compactification of eleven-dimensional supergravity on a squashed $S^7$when restricted to the sector that comprises singlets under the $Sp(1)\timesSp(2)$ isometry of the squashed sphere. Some of the properties of these modes,connected to the transition from the round $S^7$ to the squashed $S^7$, areanalysed in detail. Special features of the Rarita-Schwinger operator,described in earlier work by Buchdahl, are explained and related to propertiesof the squashed $S^7$ operator spectrum obtained in previous work by theauthors. We then discuss how the singlet modes give rise to supermultiplets inthe left-squashed case, the phenomenon of de-Higgsing, and what happens to theAdS$_4$ fields in these supermultiplets under an orientation reversal(``skew-whiffing'') of the squashed $S^7$. Finally, we consider the possiblechoices of boundary conditions that appear for some of these fields in AdS$_4$in the case of the right-squashed non-supersymmetric compactification, and howthese choices may affect the stability of the gravity theory.

De-Higgsing In Eleven-Dimensional Supergravity On The Squashed $S^7$