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

Motivated by the construction of holographic duals to five-dimensionalsuperconformal quantum field theories, we obtain global solutions to Type IIBsupergravity invariant under the superalgebra $F(4)$ on a space-time of theform $AdS_6 \times S^2$ warped over a two-dimensional Riemann surface $\Sigma$.In earlier work, the general local solutions were expressed in terms of twolocally holomorphic functions $\mathcal A_\pm$ on $\Sigma$ and global solutionswere sketched when $\Sigma$ is a disk. In the present paper, the physicalregularity conditions on the supergravity fields required for global solutionsare implemented on $\mathcal A_\pm$ for arbitrary $\Sigma$. Global solutionsexist only when $\Sigma$ has a non-empty boundary $\partial \Sigma$. Thedifferentials $\partial \mathcal A_\pm$ are allowed to have poles only on$\partial \Sigma$ and each pole corresponds to a semi-infinite $(p,q)$five-brane. The construction for the disk is carried out in detail and theconditions for the existence of global solutions are articulated for surfaceswith more than one boundary and higher genus.

Warped $AdS_6\times S^2$ in Type IIB supergravity II: Global solutions and five-brane webs