Loop groups, anyons and the Calogero-Sutherland model

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dc.creatorCarey, Alan L.
dc.creatorLangmann, Edwin
dc.date1998-05-12
dc.date.accessioned2026-07-07T10:34:28Z
dc.date.available2026-07-07T10:34:28Z
dc.descriptionThe positive energy representations of the loop group of U(1) are used to construct a boson-anyon correspondence. We compute all the correlation functions of our anyon fields and study an anyonic W-algebra of unbounded operators with a common dense domain. This algebra contains an operator with peculiar exchange relations with the anyon fields. This operator can be interpreted as a second quantised Calogero-Sutherland (CS) Hamiltonian and may be used to solve the CS model. In particular, we inductively construct all eigenfunctions of the CS model from anyon correlation functions, for all particle numbers and positive couplings.
dc.description34 pages, Latex
dc.identifierhttps://arxiv.org/abs/math-ph/9805010
dc.identifierhttp://arxiv.org/abs/math-ph/9805010
dc.identifierCommun.Math.Phys.201:1-34,1999
dc.identifierdoi:10.1007/s002200050547
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179485
dc.subjectMathematical Physics
dc.subjectCondensed Matter
dc.subjectOperator Algebras
dc.subjectExactly Solvable and Integrable Systems
dc.subject81R10 (Primary) 81T40, 70F10 (Secondary)
dc.titleLoop groups, anyons and the Calogero-Sutherland model
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