### Abstract

We provide a systematic way of dimensional reduction for (4+2n)-dimensional U(N) supersymmetric Yang-Mills (SYM) theories (n=0, 1, 2, 3) and their mixtures compactified on two-dimensional tori with background magnetic fluxes, which preserve a partial N=1 supersymmetry out of full N=2,3 or 4 in the original SYM theories. It is formulated in an N=1 superspace respecting the unbroken supersymmetry, and the four-dimensional effective action is written in terms of superfields representing N=1 vector and chiral multiplets, those arise from the higher-dimensional SYM theories. We also identify the dilaton and geometric moduli dependence of matter Kähler metrics and superpotential couplings as well as of gauge kinetic functions in the effective action. The results would be useful for various phenomenological/cosmological model buildings with SYM theories or D-branes wrapping magnetized tori, especially, with mixture configurations of them with different dimensionalities from each other.

Original language | English |
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Pages (from-to) | 331-365 |

Number of pages | 35 |

Journal | Nuclear Physics B |

Volume | 900 |

DOIs | |

Publication status | Published - 2015 Nov 1 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*900*, 331-365. https://doi.org/10.1016/j.nuclphysb.2015.09.014

**Superfield description of (4+2n)-dimensional SYM theories and their mixtures on magnetized tori.** / Abe, Hiroyuki; Horie, Tomoharu; Sumita, Keigo.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 900, pp. 331-365. https://doi.org/10.1016/j.nuclphysb.2015.09.014

}

TY - JOUR

T1 - Superfield description of (4+2n)-dimensional SYM theories and their mixtures on magnetized tori

AU - Abe, Hiroyuki

AU - Horie, Tomoharu

AU - Sumita, Keigo

PY - 2015/11/1

Y1 - 2015/11/1

N2 - We provide a systematic way of dimensional reduction for (4+2n)-dimensional U(N) supersymmetric Yang-Mills (SYM) theories (n=0, 1, 2, 3) and their mixtures compactified on two-dimensional tori with background magnetic fluxes, which preserve a partial N=1 supersymmetry out of full N=2,3 or 4 in the original SYM theories. It is formulated in an N=1 superspace respecting the unbroken supersymmetry, and the four-dimensional effective action is written in terms of superfields representing N=1 vector and chiral multiplets, those arise from the higher-dimensional SYM theories. We also identify the dilaton and geometric moduli dependence of matter Kähler metrics and superpotential couplings as well as of gauge kinetic functions in the effective action. The results would be useful for various phenomenological/cosmological model buildings with SYM theories or D-branes wrapping magnetized tori, especially, with mixture configurations of them with different dimensionalities from each other.

AB - We provide a systematic way of dimensional reduction for (4+2n)-dimensional U(N) supersymmetric Yang-Mills (SYM) theories (n=0, 1, 2, 3) and their mixtures compactified on two-dimensional tori with background magnetic fluxes, which preserve a partial N=1 supersymmetry out of full N=2,3 or 4 in the original SYM theories. It is formulated in an N=1 superspace respecting the unbroken supersymmetry, and the four-dimensional effective action is written in terms of superfields representing N=1 vector and chiral multiplets, those arise from the higher-dimensional SYM theories. We also identify the dilaton and geometric moduli dependence of matter Kähler metrics and superpotential couplings as well as of gauge kinetic functions in the effective action. The results would be useful for various phenomenological/cosmological model buildings with SYM theories or D-branes wrapping magnetized tori, especially, with mixture configurations of them with different dimensionalities from each other.

UR - http://www.scopus.com/inward/record.url?scp=84943646642&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84943646642&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2015.09.014

DO - 10.1016/j.nuclphysb.2015.09.014

M3 - Article

AN - SCOPUS:84943646642

VL - 900

SP - 331

EP - 365

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

ER -