In this note we construct a solution of six-dimensional F (4) gauged supergravity using AdS 2 × S 3 warped over an interval as an ansatz. The solution is completely regular, preserves eight of the sixteen supersymmetries of the AdS 6 vacuum and is a holographic realization of a line defect in a dual five-dimensional theory. We calculate the expectation value of the defect and the one-point function of the stress tensor in the presence of the defect using holographic renormalization.
A broad class of holographic duals for 4d N = 2 SCFTs is based on the general half-BPS AdS 5 solutions to M-theory constructed by Lin, Lunin and Maldacena, and their Kaluza-Klein reductions to Type IIA. We derive the equations governing spin 2 fluctuations around these solutions. The resulting partial differential equations admit families of universal solutions which are constructed entirely out of the generic data characterizing the background. This implies the existence of families of spin 2 operators in the dual SCFTs, in short superconformal multiplets which we identify.
We construct solutions of four-dimensional N = 2 gauged supergravity coupled to vector multiplets which are holographically dual to superconformal line defects. For the gauged STU and the SU(1, n)/U(1) × SU(n) coset models, we use the solutions to calculate holographic observables such as the expectation value of the defect and one-point functions in the presence of the defect.
Janus solutions are constructed in d = 3, $$ \mathcal{N} $$
N
= 8 gauged supergravity. We find explicit half-BPS solutions where two scalars in the SO(1, 8)/SO(8) coset have a nontrivial profile. These solutions correspond on the CFT side to an interface with a position-dependent expectation value for a relevant operator and a source which jumps across the interface for a marginal operator.
In this note we show that the IIB supergravity solutions of the form AdS 6 ×M 4 found by Apruzzi et al. in [1] are related to the local solutions found by D 'Hoker et al. in [2]. We also discuss how the global regular solutions found in [3,4] are mapped to the parameterization of [1].
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