Abstract
The M-theory lift of SU(3) × U(1)R-invariant RG flow via a combinatorical use of the four-dimensional flow and 11-dimensional Einstein–Maxwell equations was found previously. By taking the three internal coordinates differently and preserving only the SU(3) symmetry from the CP2 space, we find a new 11-dimensional solution of the SU(3)-invariant RG flow interpolating from the SO(8)-invariant UV fixed point to the SU(3) × U(1)R-invariant IR fixed point in four dimensions. We describe how the corresponding three-dimensional superconformal Chern–Simons matter theory deforms. By replacing the above CP2 space with the Einstein–Kahler twofold, we also find out a new 11-dimensional solution of the SU(2) × U(1)-invariant RG flow connecting the above two fixed points in four dimensions.
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