### Abstract

We study the spectrum of BPS states in script N = 4 supersymmetric U(N) Yang-Mills theory. This theory has been proposed to describe M-theory on T^{3} in the discrete light-cone formalism. We find that the degeneracy of irreducible BPS bound states in this model exhibits a (partially hidden) SL(5,ℤ) duality symmetry. Besides the electro-magnetic symmetry, this duality group also contains Nahm-like transformations that interchange the rank N of the gauge group with some of the magnetic or electric fluxes. In the M-theory interpretation, this mapping amounts to a reflection that interchanges the longitudinal direction with one of the transverse directions.

Original language | English (US) |
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Pages (from-to) | 609-622 |

Number of pages | 14 |

Journal | Nuclear Physics B |

Volume | 508 |

Issue number | 3 |

DOIs | |

State | Published - Dec 29 1997 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Keywords

- BPS spectrum
- Matrix theory
- Supersymmetric Yang-Mills theory

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## Cite this

Hacquebord, F., & Verlinde, H. (1997). Duality symmetry of script N = 4 Yang-Mills theory on T

^{3}.*Nuclear Physics B*,*508*(3), 609-622. https://doi.org/10.1016/S0550-3213(97)00608-1