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- W4223449375 abstract "We study four-dimensional $N=4$ gauged supergravity with $SO(4)times SO(4)sim SO(3)times SO(3)times SO(3)times SO(3)$ 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 $SL(2,mathbb{R})$ transformations. The second one gives equivalent theories for any non-vanishing values and can be set to $frac{pi}{2}$ resulting in gauged supergravities that admit $N=4$ supersymmetric $AdS_4$ vacua. The remaining two phases are truely deformation parameters leading to different $SO(4)times SO(4)$ gauged supergravities. As in the $omega$-deformed $SO(8)$ maximal gauged supergravity, the cosmological constant and scalar masses of the $AdS_4$ vacuum at the origin of the scalar manifold with $SO(4)times SO(4)$ symmetry do not depend on the electric-magnetic phases. We find $N=1$ holographic RG flow solutions between $N=4$ critical points with $SO(4)times SO(4)$ and $SO(3)_{textrm{diag}}times SO(3)times SO(3)$ or $SO(3)times SO(3)_{textrm{diag}}times SO(3)$ symmetries. We also give $N=2$ and $N=1$ RG flows from these critical points to various non-conformal phases. However, contrary to the $omega$-deformed $SO(8)$ gauged supergravity, there exist non-trivial supersymmetric $AdS_4$ critical points only for particular values of the deformation parameters within the scalar sectors under consideration." @default.
- W4223449375 created "2022-04-14" @default.
- W4223449375 creator A5054727229 @default.
- W4223449375 date "2022-04-12" @default.
- W4223449375 modified "2023-10-10" @default.
- W4223449375 title "Holographic RG flows and symplectic deformations of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> gauged supergravity" @default.
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- W4223449375 doi "https://doi.org/10.1103/physrevd.105.086009" @default.
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