## Abstract

In important recent developments, new Sasaki-Einstein spaces ^{p.q} and conformal gauge theories dual to AdS_{5} × Y^{p,q} have been constructed. We consider a stack of N D3-branes and M wrapped D5-branes at the apex of a cone over Y^{p,q}. Replacing the D-branes by their fluxes, we construct asymptotic solutions for all p and q in the form of warped products of the cone and R^{3,1}. We show that they describe cascading RG flows where N decreases logarithmically with the scale. The warp factor, which we determine explicitly, is a function of the radius of the cone and one of the coordinates on Y^{p,q} We describe the RG cascades in the dual quiver gauge theories, and find an exact agreement between the supergravity and the field theory β-functions. We also discuss certain dibaryon operators and their dual wrapped D3-branes in the conformal case M = 0.

Original language | English (US) |
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Pages (from-to) | 177-198 |

Number of pages | 22 |

Journal | Journal of High Energy Physics |

Issue number | 2 |

DOIs | |

State | Published - Feb 2005 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

## Keywords

- AdS-CFT and dS-CFT Correspondence
- Duality in Gauge Field Theories
- Supergravity Models