Abstract
We consider one of the well-known solutions in eleven-dimensional supergravity where the seven-dimensional Einstein space is given by a SO(3)-bundle over the CP2. By reexamining the AdS4 supergravity scalar potential, the holographic renormalization group flow from N=(0,1)SU(3)×SU(2)-invariant UV fixed point to N=(3,0)SU(3)×SU(2)-invariant IR fixed point is reinterpreted. A dual operator in three-dimensional superconformal Chern–Simons matter theories corresponding to this RG flow is described.
Highlights
The N = 6 superconformal Chern-Simons matter theory with gauge group U(N) × U(N) at level k and with two hypermultiplets in the bifundamental representations is found in [1]
Naive SU(2) flavor symmetry appearing in the hypermultiplets is enhanced to SU(2) × SU(2) symmetry that occurs in the whole action of the theory and there exists a SU(2)R symmetry coming from the original N = 3 superconformal symmetry
It turns out the full theory has N = 6 superconformal symmetry and the full scalar potential is invariant under SU(4)R coming from this enhanced N = 6 superconformal symmetry
Summary
The N = 6 superconformal Chern-Simons matter theory with gauge group U(N) × U(N) at level k and with two hypermultiplets in the bifundamental representations is found in [1]. As in the case of seven-sphere S7, the scalar field corresponding to the squashing deformation acquires a nonzero vacuum expectation value leading to (super)-Higgs mechanism. We will be studying the known example of Kaluza-Klein supergravity vacua and reinterpret it in terms of three-dimensional (super)conformal field theories and associated RG flows. The aim of this paper is to 1) recapitulate the effective scalar potential described in [18] with only breathing mode and squashing mode, and 2) analyze more both the mass spectrum in the eleven-dimensional supergravity and the corresponding Chern-Simons gauge theory operator which gives rise to the squashing deformation, by analyzing the results of [23]. We identify the corresponding operator in the boundary conformal field theory in three dimensions by looking at the observations of [23] 2
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