## Abstract

We obtain first order equations that determine a supersymmetric kink solution in five-dimensional 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.

Original language | English (US) |
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Pages (from-to) | 1-55 |

Number of pages | 55 |

Journal | Advances in Theoretical and Mathematical Physics |

Volume | 3 |

Issue number | 2 |

DOIs | |

State | Published - Mar 1999 |

## All Science Journal Classification (ASJC) codes

- General Mathematics
- General Physics and Astronomy