Dyonic Sectors and Intertwiner Connections in 2+1-dimensional Lattice Z_N-Higgs Models
Barata, J. C. A. ; Nill, F.
arXiv, 9612007 / Harvested from arXiv
Text on arXiv
We construct dyonic states in 2+1-dimensional lattice Z_N-Higgs models, i.e., states which are both, electrically and magnetically charged. The associated Hilbert spaces carry charged representations of the observable algebra, the global transfer matrix and a unitary implementation of the group of spatial lattice translations. We prove that for coinciding total charges these representations are dynamically equivalent and we construct a local intertwiner connection depending on a path in the space of charge distributions. The holonomy of this connection is given by Z_N-valued phases. This will be the starting point for a construction of scattering states with anyon statistics in a subsequent paper.
Publié le : 1996-11-29
Classification:  High Energy Physics - Theory,  High Energy Physics - Lattice,  Mathematical Physics 
@article{9612007,
     author = {Barata, J. C. A. and Nill, F.},
     title = {Dyonic Sectors and Intertwiner Connections in 2+1-dimensional Lattice
  Z\_N-Higgs Models},
     journal = {arXiv},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9612007}
}

Barata, J. C. A.; Nill, F. Dyonic Sectors and Intertwiner Connections in 2+1-dimensional Lattice
  Z_N-Higgs Models. arXiv, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/9612007/