## Abstract

SU(N_{L}) ⊗ SU(N_{R}) gauge theories are investigated as effective field theories on D_{4}-branes in type IIA string theory. The classical gauge configuration is shown to match quantitatively with a corresponding classical U(N_{L}) ⊗ U(N_{R}) gauge theory. Quantum effects freeze the U(1) gauge factors and turn some parameters into moduli. The SU(N_{L}) ⊗ SU(N_{R}) quantum model is realized in M theory. Starting with an N = 2 configuration (parallel NS 5-branes), the rotation of a single NS 5-brane is considered. Generically, this leads to a complete lifting of the Coulomb moduli space. The implications of this result to field theory and the dynamics of branes are discussed. When the initial M 5-brane is reducible, part of the Coulomb branch may survive. Some such situations are considered, leading to curves describing the effective gauge couplings for N = 1 models. The generalization to models with more gauge group factors is also discussed.

Original language | English |
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Pages (from-to) | 103-147 |

Number of pages | 45 |

Journal | Nuclear Physics B |

Volume | 512 |

Issue number | 1-2 |

DOIs | |

State | Published - 16 Feb 1998 |

### Bibliographical note

Funding Information:We are grateful to Shmuel Elitzur, David Kutasov, Yaron Oz and Eliezer Rabinovici for helpful discussions. This work is supported in part by BSF - American-Israel BiNational Science Foundation, and by the Israel Science Foundation founded by the Israel Academy of Sciences and Humanities - Centers of Excellence Program. A.G. thanks the Theory Division at CERN for hospitality.

## Keywords

- D-branes
- Gauge theory
- String theory
- Supersymmetry

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