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

Abstract

We study supersymmetric $Ad{S}_4\times {\Sigma }_2$ and $Ad{S}_3\times {\Sigma }_3$ 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 $Ad{S}_6$ critical points with $SO(4)\sim SU(2)\times SU(2)$ and $SO(3)\sim SU(2{)}_{\text{diag}}$ symmetries. The former corresponds to five-dimensional $N=2$ superconformal field theories (SCFTs) with $E_1\sim SU(2)$ symmetry. We find new classes of supersymmetric $Ad{S}_4\times {\Sigma }_2$ and $Ad{S}_3\times {\Sigma }_3$ solutions with ${\Sigma }_{2,3}$ being $S^{2,3}$ and $H^{2,3}$. These solutions describe SCFTs in three and two dimensions obtained from twisted compactifications of the aforementioned five-dimensional SCFTs with different numbers of unbroken supersymmetry and various types of global symmetries.

22 pages, no figures, typos and errors in the BPS equations in section 3.1 corrected and references added

References in corpus (3)

• AdS_6 solutions of type II supergravity
• RG flows in 6D N=(1,0) SCFT from SO(4) half-maximal 7D gauged supergravity
• RG flows from (1,0) 6D SCFTs to N=1 SCFTs in four and three dimensions

Cited by in corpus (7)

• Supersymmetric $Ad{S}_6$ black holes from $F(4)$ gauged supergravity
• Holographic duals of five-dimensional SCFTs on a Riemann surface
• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• Five-branes wrapped on topological disks from 7D N=2 gauged supergravity
• Janus and RG-flow interfaces from matter-coupled F(4) gauged supergravity
• Holographic RG flows and Janus interfaces from ISO(3)xU(1) F(4) gauged supergravity
• Wrapped D4-branes from maximal 6D gauged supergravity