### Abstract

We study fractional branes in script N = 2 orbifold and script N = 1 conifold theories. Placing a large number N of regular D3-branes at the singularity produces the dual AdS_{5} × X^{5} geometry, and we describe the fractional branes as small perturbations to this background. For the orbifolds, X^{5} = S^{5}/Γ and fractional D3-branes excite complex scalars from the twisted sector which are localized on the fixed circle of X^{5}. The resulting solutions are given by holomorphic functions and the field-theoretic beta-function is simply reproduced. For N regular and M fractional D3-branes at the conifold singularity we find a non-conformal script N = 1 supersymmetric SU(N + M) × SU(N) gauge theory. The dual Type IB background is AdS_{5} × T^{1,1} with NS-NS and R-R 2-form fields turned on. This dual description reproduces the logarithmic flow of couplings found in the field theory.

Original language | English (US) |
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Pages (from-to) | 263-274 |

Number of pages | 12 |

Journal | Nuclear Physics B |

Volume | 574 |

Issue number | 1-2 |

DOIs | |

State | Published - May 15 2000 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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## Cite this

*Nuclear Physics B*,

*574*(1-2), 263-274. https://doi.org/10.1016/S0550-3213(00)00016-X