RG flows in 6D N = (1,0) SCFT from SO(4) half-maximal 7D gauged supergravity

摘要

We study N = 2 seven-dimensional gauged supergravity coupled to three vector multiplets with SO(4) gauge group. The resulting gauged supergravity contains 10 scalars consisting of the dilaton and 9 vector multiplet scalars parametrized by SO(3, 3)/SO(3)×SO(3) coset manifold. The maximally supersymmetric AdS 7 vacuum with unbroken SO(4) symmetry is identified with a (1, 0) SCFT in six dimensions. We find one new supersymmetric AdS 7 critical point preserving SO(3)diag ⊂ SO(3) × SO(3) ~ SO(4) and study a holographic RG flow interpolating between the SO(4) and the new SO(3) supersymmetric critical points. The RG flow is driven by a vacuum expectation value of a dimension-four operator and describes a deformation of the UV (1, 0) SCFT to another supersymmetric fixed point in the IR. In addition, a number of non-supersymmetric critical points are identified, and some of them are stable with all scalar masses above the BF bound. RG flows to non-conformal N = (1, 0) Super Yang-Mills with SO(2) × SO(2) and SO(2) symmetries are also investigated. Some of these flows have physically acceptable IR singularities since the scalar potential is bounded above. These provide physical RG flows from (1, 0) SCFT to non-conformal field theories in six dimensions