### Abstract

't Hooft's construction of free energy, electric and magnetic fluxes, and of the partition function with twisted boundary conditions, is extended to the case of N = 4 supersymmetric Yang-Mills theories based on arbitrary compact, simple Lie groups. The transformation of the fluxes and the free energy under S-duality is presented. We consider the partition function of N = 4 for a particular choice of boundary conditions, and compute exactly its leading infrared divergence. We verify that this partition function obeys the transformation laws required by S-duality. This provides independent evidence in favor of S-duality in N = 4 theories.

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

Pages (from-to) | 127-165 |

Number of pages | 39 |

Journal | Nuclear Physics, Section B |

Volume | 448 |

Issue number | 1-2 |

DOIs | |

State | Published - Aug 14 1995 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics, Section B*,

*448*(1-2), 127-165. https://doi.org/10.1016/0550-3213(95)00177-T

**S-duality in N = 4 Yang-Mills theories with general gauge groups.** / Girardello, Luciano; Giveon, Amit; Porrati, Massimo; Zaffaroni, Alberto.

Research output: Contribution to journal › Article

*Nuclear Physics, Section B*, vol. 448, no. 1-2, pp. 127-165. https://doi.org/10.1016/0550-3213(95)00177-T

}

TY - JOUR

T1 - S-duality in N = 4 Yang-Mills theories with general gauge groups

AU - Girardello, Luciano

AU - Giveon, Amit

AU - Porrati, Massimo

AU - Zaffaroni, Alberto

PY - 1995/8/14

Y1 - 1995/8/14

N2 - 't Hooft's construction of free energy, electric and magnetic fluxes, and of the partition function with twisted boundary conditions, is extended to the case of N = 4 supersymmetric Yang-Mills theories based on arbitrary compact, simple Lie groups. The transformation of the fluxes and the free energy under S-duality is presented. We consider the partition function of N = 4 for a particular choice of boundary conditions, and compute exactly its leading infrared divergence. We verify that this partition function obeys the transformation laws required by S-duality. This provides independent evidence in favor of S-duality in N = 4 theories.

AB - 't Hooft's construction of free energy, electric and magnetic fluxes, and of the partition function with twisted boundary conditions, is extended to the case of N = 4 supersymmetric Yang-Mills theories based on arbitrary compact, simple Lie groups. The transformation of the fluxes and the free energy under S-duality is presented. We consider the partition function of N = 4 for a particular choice of boundary conditions, and compute exactly its leading infrared divergence. We verify that this partition function obeys the transformation laws required by S-duality. This provides independent evidence in favor of S-duality in N = 4 theories.

UR - http://www.scopus.com/inward/record.url?scp=4244088238&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4244088238&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(95)00177-T

DO - 10.1016/0550-3213(95)00177-T

M3 - Article

VL - 448

SP - 127

EP - 165

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -