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 derive necessary and sufficient conditions for warped AdS$_2$ solutions ofType II supergravity to preserve ${\cal N}=1$ supersymmetry, in terms ofbispinors. Such solutions generically support an SU$(3)$-structure on theirinternal manifold M$_8$, which can experience an enhancement to aG$_2$-structure. We perform an SU$(3)$-structure torsion classes analysis andexpress the fluxes and other physical fields in terms of these, in general. Weuse our results to derive two new classes of AdS$_2$ solutions. In (massive)Type IIA supergravity we derive an ${\mathcal N}=1$ supersymmetric class forwhich M$_8$ decomposes as a weak G$_2$ manifold foliated over an interval andwhich is locally defined in terms of a degree three polynomial. In Type IIBsupergravity we find a class of AdS$_2\times\text{CY}_2\times\Sigma_2$solutions governed by a harmonic function on $\Sigma_2$ and partialdifferential equations reminiscent of D3-D7-brane configurations.

G-structures for black hole near-horizon geometries