1210.8064 (Parinya Karndumri)

Holographic RG flows in six dimensional F(4) gauged supergravity    [PDF]

Parinya Karndumri

We study critical points of F(4) gauged supergravity in six dimensions coupled to three vector multiplets. Scalar fields are described by $\mathbb{R}^+\times \frac{SO(4,3)}{SO(4)\times SO(3)}$ coset space, and the gauge group is given by $SO(3)_R\times SO(3)$ with SO(3)_R being the R-symmetry. We identify new non-supersymmetric critical points of the scalar potential. One of these new critical points is shown to be stable with all scalar masses are above the BF bound and should correspond to a new non-supersymmetric CFT in five dimensions. On the other hand, the maximally supersymmetric critical point with all scalars vanishing is dual to an SCFT$_5$ arising from a near horizon geometry of the D4-D8 brane system in type I' theory with a global symmetry $E_1\sim SU(2)$. We give a numerical RG flow solution interpolating between this SCFT and the new critical point. The flow describes a non-supersymmetric deformation driven by a relevant operator of dimension 3. We identify the dual operator with a mass term for hypermultiplet scalars in the dual field theory. We also study a numerical solution for a non-supersymmetric RG flow in pure F(4) gauged supergravity whose critical points have been identified, previously. In this case, the flow involves only the six dimensional dilaton and describes a non-supersymmetric deformation of the five dimensional N=2 SCFT without any global symmetry by turning on a relevant operator of dimension 3 which can be identified with a hyper-scalar mass term. The two solutions provide examples of holographic RG flows in AdS$_6$/CFT$_5$ correspondence.

View original: http://arxiv.org/abs/1210.8064