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Cited by 949

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Renormalization group flows from holography: Supersymmetry and a $c$-theorem

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Freedman, D. Z., Gubser, S. S., Pilch, K., Warner, N. P.·1999·Advances in Theoretical and Mathematical Physics

Abstract

We obtain first order equations that determine a super symmetric kink solution in five-dimensional Af = 8 gauged supergravity.The kink interpolates between an exterior anti-de Sitter region with maximal supersymmetry and an interior anti-de Sitter region with one quarter of the maximal supersymmetry.One eighth of supersymmetry is preserved by the kink as a whole.We interpret it as describing the renormalization group flow in J\f = 4 super-Yang-Mills theory broken to an Af = 1 theory by the addition of a mass term for one of the three adjoint chiral superfields.A detailed correspondence is obtained between fields of bulk supergravity in the interior anti-de Sitter region and composite operators of the infrared field theory.We also point out that the truncation used to find the reduced symmetry critical point can be extended to obtain a new Af = 4 gauged supergravity theory holographically dual to a sector of Af = 2 gauge theories based on quiver diagrams.

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Metadata

Authors
Freedman, D. Z., Gubser, S. S., Pilch, K., & Warner, N. P.
Venue
Advances in Theoretical and Mathematical Physics
Published
1999
Volume
3
Issue
2
Pages
363-417
ISSN
  • 1095-0753 (ISSN-L)
  • 1095-0761
OpenAlex
W2150900678
Cited by
949
References
8
FWCI
48.30
Type
journal article
Language
en
Open access
bronze

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Freedman, D. Z., Gubser, S. S., Pilch, K., & Warner, N. P. (1999). Renormalization group flows from holography: Supersymmetry and a $c$-theorem. Advances in Theoretical and Mathematical Physics. https://doi.org/10.4310/atmp.1999.v3.n2.a7

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