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The holographic RG flow in a field theory on a curved background

2002/07/02 by Gabriel Lopes Cardoso, Dieter Lust, Dieter Lüst · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometry and complex manifolds #hep-th

paper · pdf · doi:10.1088/1126-6708/2002/09/028

published as JHEP 0209:028,2002 · 14 pages, LaTeX

arxiv created 2002/07/02 · openalex publication_date 2002/09/12 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

As shown by Freedman, Gubser, Pilch and Warner, the RG flow in \cal N=4 super-Yang-Mills theory broken to an \cal N=1 theory by the addition of a mass term can be described in terms of a supersymmetric domain wall solution in five-dimensional \cal N=8 gauged supergravity. The FGPW flow is an example of a holographic RG flow in a field theory on a flat background. Here we put the field theory studied by Freedman, Gubser, Pilch and Warner on a curved AdS4 background, and we construct the supersymmetric domain wall solution which describes the RG flow in this field theory. This solution is a curved (non Ricci flat) domain wall solution. This example demonstrates that holographic RG flows in supersymmetric field theories on a curved AdS4 background can be described in terms of curved supersymmetric domain wall solutions.

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