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Renormalization group flows from holography -- Supersymmetry and a c-theorem (1999)
| Venue: | ADV THEOR. MATH. PHYS |
| Citations: | 292 - 25 self |
BibTeX
@ARTICLE{Freedman99renormalizationgroup,
author = {D. Z. Freedman and S. S. Gubser and K. Pilch and N. P. Warner},
title = {Renormalization group flows from holography -- Supersymmetry and a c-theorem },
journal = {ADV THEOR. MATH. PHYS},
year = {1999},
pages = {363}
}
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Abstract
We obtain first order equations that determine a supersymmetric kink solution in fivedimensional N = 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 N = 4 super-Yang-Mills theory broken to an N = 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 N = 4 gauged supergravity theory holographically dual to a sector of N = 2 gauge theories based on quiver diagrams. We consider more general kink geometries and construct a c-function that is positive and monotonic if a weak energy condition holds in the bulk gravity theory. For even-dimensional boundaries, the c-function coincides with the trace anomaly coefficients of the holographically related field theory in limits where conformal invariance is recovered.
Keyphrases
holography supersymmetry renormalization group maximal supersymmetry interior anti-de sitter region exterior anti-de sitter region weak energy condition bulk gravity theory quiver diagram related field theory trace anomaly coefficient conformal invariance c-function coincides mass term general kink geometry bulk supergravity supersymmetric kink solution composite operator even-dimensional boundary detailed correspondence infrared field theory reduced symmetry critical point supergravity theory renormalization group flow gauge theory first order equation adjoint chiral superfields
