2014/04/30 by Parinya Karndumri · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Dilaton #Gauged supergravity #Geometry and complex manifolds #Homogeneous space #Homotopy and Cohomology in Algebraic Topology #Multiplet #Scalar (mathematics) #Scalar potential #Supergravity #Supersymmetric gauge theory #Vacuum expectation value #hep-th
paper · pdf · doi:10.1007/jhep06(2014)101
published as JHEP 06 (2014) 101 · 19 pages, no figures, more information added, typos and errors in flows to non-conformal theories corrected
openalex publication_date 2014/06/01 · openalex created_date 2016/06/24 · arxiv created 2018/04/14 · arxiv updated 2018/04/17 · openalex updated_date 2026/08/05
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.