The Dirac operator on SU_q(2)

 

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Bibliographic Details
Authors: Dabrowski, Ludwik, Landi, Giovanni, Sitarz, Andrzej, Van Suijlekom, Walter, Várilly Boyle, Joseph C.
Format: artículo original
Publication Date:2005
Description:We construct a 3^+ summable spectral triple (A(SU_q(2)),H,D) over the quantum group SU_q(2) which is equivariant with respect to a left and a right action of U_q(su(2)). The geometry is isospectral to the classical case since the spectrum of the operator D is the same as that of the usual Dirac operator on the 3-dimensional round sphere. The presence of an equivariant real structure J demands a modification in the axiomatic framework of spectral geometry, whereby the commutant and first-order properties need be satisfied only modulo infinitesimals of arbitrary high order.
Country:Kérwá
Institution:Universidad de Costa Rica
Repositorio:Kérwá
Language:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/89094
Online Access:https://link.springer.com/article/10.1007/s00220-005-1383-9
https://hdl.handle.net/10669/89094
Keyword:GEOMETRY
MATHEMATICS