THE DIRAC OPERATOR ON THE FUZZY SPHERE

Authors
GROSSE H PRESNAJDER P
Citation
H. Grosse et P. Presnajder, THE DIRAC OPERATOR ON THE FUZZY SPHERE, letters in mathematical physics, 33(2), 1995, pp. 171-181
Citations number
8
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
33
Issue
2
Year of publication
1995
Pages
171 - 181
Database
ISI
SICI code
0377-9017(1995)33:2<171:TDOOTF>2.0.ZU;2-Y
Abstract
We introduce the fuzzy analog of spinor bundles over the sphere on whi ch the noncommutative analog of the Dirac operator acts. We construct the complete set of eigenstates including zero modes. In the commutati ve limit, we recover known results.