### Abstract

We give an argument showing that in N = 4 supersymmetric gauge theories there exists at least one bound state saturating the Bogomol'nyi bound with electric charge p and magnetic charge q, for each p and q relatively prime, and we comment on the uniqueness of such state. This result is a necessary condition for the existence of an exact S-duality in N = 4 supersymmetric theories.

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

Pages (from-to) | 67-75 |

Number of pages | 9 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 377 |

Issue number | 1-3 |

State | Published - Jun 6 1996 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**On the existence of states saturating the Bogomol'nyi bound in N = 4 supersymmetry.** / Porrati, Massimo.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 377, no. 1-3, pp. 67-75.

}

TY - JOUR

T1 - On the existence of states saturating the Bogomol'nyi bound in N = 4 supersymmetry

AU - Porrati, Massimo

PY - 1996/6/6

Y1 - 1996/6/6

N2 - We give an argument showing that in N = 4 supersymmetric gauge theories there exists at least one bound state saturating the Bogomol'nyi bound with electric charge p and magnetic charge q, for each p and q relatively prime, and we comment on the uniqueness of such state. This result is a necessary condition for the existence of an exact S-duality in N = 4 supersymmetric theories.

AB - We give an argument showing that in N = 4 supersymmetric gauge theories there exists at least one bound state saturating the Bogomol'nyi bound with electric charge p and magnetic charge q, for each p and q relatively prime, and we comment on the uniqueness of such state. This result is a necessary condition for the existence of an exact S-duality in N = 4 supersymmetric theories.

UR - http://www.scopus.com/inward/record.url?scp=0043189939&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0043189939&partnerID=8YFLogxK

M3 - Article

VL - 377

SP - 67

EP - 75

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-3

ER -