The Dirac operator on SU_q(2)

 

Αποθηκεύτηκε σε:
Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφείς: Dabrowski, Ludwik, Landi, Giovanni, Sitarz, Andrzej, Van Suijlekom, Walter, Várilly Boyle, Joseph C.
Μορφή: artículo original
Ημερομηνία έκδοσης:2005
Περιγραφή: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.
Χώρα:Kérwá
Ίδρυμα:Universidad de Costa Rica
Repositorio:Kérwá
Γλώσσα:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/89094
Διαθέσιμο Online:https://link.springer.com/article/10.1007/s00220-005-1383-9
https://hdl.handle.net/10669/89094
Λέξη-Κλειδί :GEOMETRY
MATHEMATICS