Topological interactions in broken gauge theories
| dc.creator | Propitius, Mark de Wild | |
| dc.date | 1995-11-27 | |
| dc.date.accessioned | 2026-07-07T04:21:41Z | |
| dc.date.available | 2026-07-07T04:21:41Z | |
| dc.description | This thesis deals with planar gauge theories in which some gauge group G is spontaneously broken to a finite subgroup H. The spectrum consists of magnetic vortices, global H charges and dyonic combinations exhibiting topological Aharonov-Bohm interactions. Among other things, we review the Hopf algebra D(H) related to this residual discrete H gauge theory, which provides an unified description of the spin, braid and fusion properties of the aforementioned particles. The implications of adding a Chern-Simons (CS) term to these models are also addressed. We recall that the CS actions for a compact gauge group G are classified by the cohomology group H^4(BG,Z). For finite groups H this classification boils down to the cohomology group H^3(H,U(1)). Thus the different CS actions for a finite group H are given by the inequivalent 3-cocycles of H. It is argued that adding a CS action for the broken gauge group G leads to additional topological interactions for the vortices governed by a 3-cocycle for the residual finite gauge group H determined by a natural homomorphism from H^4(BG,Z) to H^3(H,U(1)). Accordingly, the related Hopf algebra D(H) is deformed into a quasi-Hopf algebra. These general considerations are illustrated by CS theories in which the direct product of some U(1) gauge groups is broken to a finite subgroup H. It turns out that not all conceivable 3-cocycles for finite abelian gauge groups H can be obtained in this way. Those that are not reached are the most interesting. A Z_2 x Z_2 x Z_2 CS theory given by such a 3-cocycle, for instance, is dual to an ordinary gauge theory with nonabelian gauge group the dihedral group of order eight. Finally, the CS theories with nonabelian finite gauge group a dihedral or double dihedral group are also discussed in full detail. | |
| dc.description | 168 pages, LaTeX using amssymb.sty, 19 eps figures, all in a single uuencoded file. PhD thesis submitted to the University of Amsterdam. Hard copies available upon request. Postscript version also available at http://parthe.lpthe.jussieu.fr/~mdwp/ | |
| dc.identifier | https://arxiv.org/abs/hep-th/9511195 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9511195 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54419 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Condensed Matter | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Topological interactions in broken gauge theories | |
| dc.type | text |