par Acharyya, Nirmalendu ;Chandra, Nitin;Vaidya, Sachindeo
Référence Journal of High Energy Physics, 2014, 11, page (78)
Publication Publié, 2014-11-17
Article révisé par les pairs
Résumé : Using generalized bosons, we construct the fuzzy 2-sphere and monopoles on fuzzy 2-sphere in a reducible representation of SU(2). The corresponding quantum states are naturally obtained using the GNS-construction. We show that there is an emergent non-abelian unitary gauge symmetry which is in the commutant of the algebra of observables. The quantum states are necessarily mixed and have non-vanishing von Neumann entropy, which increases monotonically under a bistochastic Markov map. The maximum value of the entropy has a simple relation to the degeneracy of the irreps that constitute the reducible representation that underlies the fuzzy sphere.