| Summary: | We study four-dimensional N=4 gauged supergravity with SO(4)×SO(4)∼SO(3)×SO(3)×SO(3)×SO(3) gauge group in the presence of symplectic deformations. There are in general four electric-magnetic phases corresponding to each SO(3) factor, but two phases of the SO(3) factors embedded in the SO(6) R-symmetry are fixed. One phase can be set to zero by SL(2,R) transformations. The second one gives equivalent theories for any nonvanishing values and can be set to π2 resulting in gauged supergravities that admit N=4 supersymmetric AdS4 vacua. The remaining two phases are truly deformation parameters leading to different SO(4)×SO(4) gauged supergravities. As in the ω-deformed SO(8) maximal gauged supergravity, the cosmological constant and scalar masses of the AdS4 vacuum at the origin of the scalar manifold with SO(4)×SO(4) symmetry do not depend on the electric-magnetic phases. We find N=1 holographic RG flow solutions between N=4 critical points with SO(4)×SO(4) and SO(3)diag×SO(3)×SO(3) or SO(3)×SO(3)diag×SO(3) symmetries. We also give N=2 and N=1 RG flows from these critical points to various nonconformal phases. However, contrary to the ω-deformed SO(8) gauged supergravity, there exist nontrivial supersymmetric AdS4 critical points only for particular values of the deformation parameters within the scalar sectors under consideration. © 2022 authors. Published by the American Physical Society.
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