Horváthy, P. A. and O'Raifeartaigh, L.
(1986)
*Monopole Instability I: Negative Modes.*
(Preprint)

Text
DIAS-STP-86-33.pdf Download (3MB) |

## Abstract

For monopoles with non-vanishing Higgs potential it is shown that with respect to (asymptotic) variations of the gauge potential (a) the stability problem reduces to that of a pure gauge theory on the 2-sphere (b) each topological section admits one, and only one, stable monopole, and (c) each non-stable monopole admits 2Σ(2(q)-1) negative modes where the sum goes over all negative eigenvalues q of the non-Abelian charge Q. An explicit construction for (i) the unique stable monopole (ii) the negative modes and (iii) the spectrum of the Hessian, on the 2-sphere, is then given. The relationship of the instability-index (2(q)-1) to the Aliyah-Singer and Witten indices is exhibited and the general theory is illustrated for the little groups U(2), U(3) and O(5).

Item Type: | Article |
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Divisions: | School of Theoretical Physics > Preprints |

Date Deposited: | 06 Jul 2018 08:58 |

Last Modified: | 24 Jul 2018 09:29 |

URI: | http://dair.dias.ie/id/eprint/846 |

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