### Abstract

Noncommutative U(N) gauge theories at different N may be often thought of as different sectors of a single theory. For instance, U(1) theory possesses a sequence of vacua labeled by an integer parameter N, and the theory in the vicinity of the Nth vacuum coincides with the U(N) noncommutative gauge theory. We construct domain walls on noncommutative plane, which separate vacua with different gauge groups in gauge theory with adjoint scalar field. The scalar field has nonminimal coupling to the gauge field, such that the scale of noncommutativity is determined by the vacuum value of the scalar field. The domain walls are solutions of the BPS equations in the theory. It is natural to interprete the domain wall as a stack of D-branes plus a stack of folded D-branes. We support this interpretation by the analysis of small fluctuations around domain walls, and suggest that such configurations of branes emerge as solutions of the Matrix model in large class of pp-wave backgrounds with inhomogeneous field strength. We point out that the folded D-brane per se provides an explicit realization of the "mirror world" idea, and speculate on some phenomenological consequences of this scenario.

Original language | English (US) |
---|---|

Pages (from-to) | 91-110 |

Number of pages | 20 |

Journal | Nuclear Physics, Section B |

Volume | 691 |

Issue number | 1-2 |

DOIs | |

State | Published - Jul 19 2004 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics, Section B*,

*691*(1-2), 91-110. https://doi.org/10.1016/j.nuclphysb.2004.05.013

**Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror world.** / Dubovsky, S. L.; Sibiryakov, S. M.

Research output: Contribution to journal › Article

*Nuclear Physics, Section B*, vol. 691, no. 1-2, pp. 91-110. https://doi.org/10.1016/j.nuclphysb.2004.05.013

}

TY - JOUR

T1 - Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror world

AU - Dubovsky, S. L.

AU - Sibiryakov, S. M.

PY - 2004/7/19

Y1 - 2004/7/19

N2 - Noncommutative U(N) gauge theories at different N may be often thought of as different sectors of a single theory. For instance, U(1) theory possesses a sequence of vacua labeled by an integer parameter N, and the theory in the vicinity of the Nth vacuum coincides with the U(N) noncommutative gauge theory. We construct domain walls on noncommutative plane, which separate vacua with different gauge groups in gauge theory with adjoint scalar field. The scalar field has nonminimal coupling to the gauge field, such that the scale of noncommutativity is determined by the vacuum value of the scalar field. The domain walls are solutions of the BPS equations in the theory. It is natural to interprete the domain wall as a stack of D-branes plus a stack of folded D-branes. We support this interpretation by the analysis of small fluctuations around domain walls, and suggest that such configurations of branes emerge as solutions of the Matrix model in large class of pp-wave backgrounds with inhomogeneous field strength. We point out that the folded D-brane per se provides an explicit realization of the "mirror world" idea, and speculate on some phenomenological consequences of this scenario.

AB - Noncommutative U(N) gauge theories at different N may be often thought of as different sectors of a single theory. For instance, U(1) theory possesses a sequence of vacua labeled by an integer parameter N, and the theory in the vicinity of the Nth vacuum coincides with the U(N) noncommutative gauge theory. We construct domain walls on noncommutative plane, which separate vacua with different gauge groups in gauge theory with adjoint scalar field. The scalar field has nonminimal coupling to the gauge field, such that the scale of noncommutativity is determined by the vacuum value of the scalar field. The domain walls are solutions of the BPS equations in the theory. It is natural to interprete the domain wall as a stack of D-branes plus a stack of folded D-branes. We support this interpretation by the analysis of small fluctuations around domain walls, and suggest that such configurations of branes emerge as solutions of the Matrix model in large class of pp-wave backgrounds with inhomogeneous field strength. We point out that the folded D-brane per se provides an explicit realization of the "mirror world" idea, and speculate on some phenomenological consequences of this scenario.

UR - http://www.scopus.com/inward/record.url?scp=3042648668&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3042648668&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2004.05.013

DO - 10.1016/j.nuclphysb.2004.05.013

M3 - Article

VL - 691

SP - 91

EP - 110

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -