Holographic RG flows for four-dimensional N=2 SCFTs

A bstract We study holographic renormalization group flows from four-dimensional N = 2 SCFTs to either N = 2 or N = 1 SCFTs. Our approach is based on the framework of five-dimensional half-maximal supergravity with general gauging, which we use to study domain wall solutions interpolating between di...

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Bibliographic Details
Published in:The journal of high energy physics 2018-06, Vol.2018 (6), p.1-41
Main Authors: Bobev, Nikolay, Cassani, Davide, Triendl, Hagen
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Domain walls
Elementary Particles
Field theory
Flavor (particle physics)
Gaging
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Subgroups
Supergravity
Supersymmetry
Symmetry
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Summary:A bstract We study holographic renormalization group flows from four-dimensional N = 2 SCFTs to either N = 2 or N = 1 SCFTs. Our approach is based on the framework of five-dimensional half-maximal supergravity with general gauging, which we use to study domain wall solutions interpolating between different supersymmetric AdS 5 vacua. We show that a holographic RG flow connecting two N = 2 SCFTs is only possible if the flavor symmetry of the UV theory admits an SO(3) subgroup. In this case the ratio of the IR and UV central charges satisfies a universal relation which we also establish in field theory. In addition we provide several general examples of holographic flows from N = 2 to N = 1 SCFTs and relate the ratio of the UV and IR central charges to the conformal dimension of the operator triggering the flow. Instrumental to our analysis is a derivation of the general conditions for AdS vacua preserving eight supercharges as well as for domain wall solutions preserving eight Poincaré supercharges in half-maximal supergravity.
ISSN:1029-8479
DOI:10.1007/JHEP06(2018)086