Twisted compactification of N=2 5D SCFTs to three and two dimensions from F(4) gauged supergravity

Understand

We study supersymmetric $AdS_4\times \Sigma_2$ and $AdS_3\times \Sigma_3$ solutions in half-maximal gauged supergravity in six dimensions with $SU(2)_R\times SU(2)$ gauge group.

• The gauged supergravity is obtained by coupling three vector multiplets to the pure $F(4)$ gauged supergravity.
• The $SU(2)_R$ R-symmetry together with the $SO(3)\sim SU(2)$ symmetry of the vector multiplets are gauged.
• The resulting gauged supergravity admits supersymmetric $AdS_6$ critical points with $SO(4)\sim SU(2)\times SU(2)$ and $SO(3)\sim SU(2)_{\textrm{diag}}$ symmetries.