UNSPECIFIED. (1993) MONOPOLES, BRAID-GROUPS, AND THE DIRAC OPERATOR. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 158 (2). pp. 241-266. ISSN 0010-3616

Abstract

Using the relation between the space of rational functions on C, the space of SU(2)-monopoles on R3, and the classifying space of the braid group, see [10], we show how the index bundle of the family of real Dirac operators coupled to SU(2)-monopoles can be described using permutation representations of Artin's braid groups. We also show how this implies the existence of a pair consisting of a gauge field A and a Higgs field PHI on R3 whose corresponding Dirac equation has an arbitrarily large dimensional space of solutions.

Data sourced from Thomson Reuters' Web of Knowledge

Request changes to a record

Actions (login required)

View Item