Abstract
Using six-dimensional Euclidean F (4) gauged supergravity we construct a holographic renormalization group flow for a CFT on S5. Numerical solutions to the BPS equations are obtained and the free energy of the theory on S5 is determined holographically by calculation of the renormalized on-shell supergravity action. In the process, we deal with subtle issues such as holographic renormalization and addition of finite counterterms. We then propose a candidate field theory dual to these solutions. This tentative dual is a supersymmetry-preserving deformation of the strongly-coupled non-Lagrangian SCFT derived from the D4-D8 system in string theory. In the IR, this theory is a mass deformation of a USp(2N ) gauge theory. A localization calculation of the free energy is performed for this IR theory, which for reasonably small values of the deformation parameter is found to have the same qualitative behaviour as the holographic free energy.
Highlights
Despite being non-renomalizable, five-dimensional supersymmetric field theories have a history of study via string and M-theory [1,2,3]
This tentative dual is a supersymmetry-preserving deformation of the strongly-coupled non-Lagrangian superconformal field theories (SCFTs) derived from the D4-D8 system in string theory
The tentative field theory dual we will use for the localization calculation in the IR is a USp(2N ) gauge theory coupled to Nf fundamental representation hypermultiplets, and a single hypermultiplet in the anti-symmetric representation
Summary
Despite being non-renomalizable, five-dimensional supersymmetric field theories have a history of study via string and M-theory [1,2,3]. The theory can be coupled to any number of six-dimensional vector multiplets, with the resulting Lagrangian, supersymmetry transformations, and possible gaugings found in [24] These theories admit supersymmetric AdS6 vacua, and determining the spectrum of linearized supergravity fluctuations dual to primary operators is straightforward [25,26,27]. The continuation of the supergravity theory from Lorentzian to Euclidean signature, the precise mapping of supergravity fields to field theory operators, and the choice of finite counterterms preserving supersymmetry are among the subtle issues which the papers [38,39,40] address in five- and four-dimensional gauged supergravity. The goal of this paper is to apply these techniques to matter-coupled six-dimensional gauged supergravity [23, 24] in order to study mass deformations of a five-dimensional SCFT on S5. We present a short review of this theory, similar to that given in [33]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
