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

摘要

A bstract We study supersymmetric AdS ~(4) × Σ~(2) and AdS ~(3) × Σ~(3) solutions in half-maximal gauged supergravity in six dimensions with SU(2)~( R ) × 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) ～ SU(2) symmetry of the vector multiplets are gauged. The resulting gauged supergravity admits supersymmetric AdS ~(6) critical points with SO(4) ～ SU(2) × SU(2) and SO(3) ～ SU(2)~(diag) symmetries. The former corresponds to five-dimensional N = 2 superconformal field theories (SCFTs) with E ~(1) ～ SU(2) symmetry. We find new classes of supersymmetric AdS ~(4) × Σ~(2) and AdS ~(3) × Σ~(3) solutions with Σ~(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.