### Abstract

We give a unified description of all BPS states of M-theory compactified on T^{5} in terms of the five-brane. We compute the mass spectrum and degeneracies and find that the SO(5,5,ℤ) U-duality symmetry naturally arises as a T-duality by assuming that the world-volume theory of the five-brane itself is described by a string theory. We also consider the compactification on S^{1}/ℤ_{2} × T_{4}, and give a new explanation for its correspondence with heterotic string theory by exhibiting its dual equivalence to M-theory on K3 × S_{1}.

Original language | English (US) |
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Pages (from-to) | 89-113 |

Number of pages | 25 |

Journal | Nuclear Physics B |

Volume | 486 |

Issue number | 1-2 |

DOIs | |

State | Published - Feb 17 1997 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Keywords

- BPS states
- Black holes
- Duality
- Entropy
- Five-brane
- M-theory
- String theory

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## Cite this

Dijkgraaf, R., Verlinde, E., & Verlinde, H. (1997). BPS quantization of the five-brane.

*Nuclear Physics B*,*486*(1-2), 89-113. https://doi.org/10.1016/S0550-3213(96)00639-6