Geodesic
Gauge Symmetries in the Heisenberg Model of a Magnet
Séminaire lotharingien de combinatoire, Tome 26 (1991)

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A relation between geometric and gauge symmetries for the Heisenberg model of magnet is pointed out. The space of quantum states of the magnet exhibits the structure of a bundle, with the base consisting of nodes of the crystal, and the typical fiber spanned on the set of the single-node spin projections. The geometric symmetry group acts on the base, the gauge group - on the typical fiber, and all combined operations form the wreath product. In particular, all global gauge transformations yield the direct product group - a subgroup of the wreath product. 

@article{SLC_1991_26_a5,
     author = {T. Lulek and W. Florek},
     title = {Gauge {Symmetries} in the {Heisenberg} {Model} of a {Magnet}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {26},
     year = {1991},
     url = {http://geodesic.mathdoc.fr/item/SLC_1991_26_a5/}
}
TY  - JOUR
AU  - T. Lulek
AU  - W. Florek
TI  - Gauge Symmetries in the Heisenberg Model of a Magnet
JO  - Séminaire lotharingien de combinatoire
PY  - 1991
VL  - 26
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_1991_26_a5/
ID  - SLC_1991_26_a5
ER  - 
%0 Journal Article
%A T. Lulek
%A W. Florek
%T Gauge Symmetries in the Heisenberg Model of a Magnet
%J Séminaire lotharingien de combinatoire
%D 1991
%V 26
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_1991_26_a5/
%F SLC_1991_26_a5
T. Lulek; W. Florek. Gauge Symmetries in the Heisenberg Model of a Magnet. Séminaire lotharingien de combinatoire, Tome 26 (1991). http://geodesic.mathdoc.fr/item/SLC_1991_26_a5/