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Quantum entropy for the fuzzy sphere and its monopoles

Acharyya, Nirmalendu and Chandra, Nitin and Vaidya, Sachindeo (2014) Quantum entropy for the fuzzy sphere and its monopoles. In: JOURNAL OF HIGH ENERGY PHYSICS (11).

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Official URL: http://dx.doi.org/ 10.1007/JHEP11(2014)078

Abstract

Using generalized bosons, we construct the fuzzy sphere S-F(2) and monopoles on S-F(2) 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 nonabelian 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.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Keywords: Solitons Monopoles and Instantons; Non-Commutative Geometry
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 26 Dec 2014 06:51
Last Modified: 26 Dec 2014 06:51
URI: http://eprints.iisc.ac.in/id/eprint/50518

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