The dirac operator on the fuzzy sphere | Zendy

Harald Grosse | Zendy; P. Prešnajder | Zendy

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The dirac operator on the fuzzy sphere

Author(s) -

Harald Grosse,

P. Prešnajder

Publication year - 1995

Publication title -

letters in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.915

H-Index - 62

eISSN - 1573-0530

pISSN - 0377-9017

DOI - 10.1007/bf00739805

Subject(s) - dirac operator , noncommutative geometry , clifford analysis , mathematics , spinor , eigenvalues and eigenvectors , fuzzy sphere , commutative property , dirac algebra , dirac spinor , pure mathematics , operator (biology) , mathematical physics , dirac (video compression format) , mathematical analysis , algebra over a field , quantum mechanics , physics , dirac equation , biochemistry , chemistry , repressor , transcription factor , neutrino , gene

We introduce the fuzzy analog of spinor bundles over the sphere on which the noncommutative analog of the Dirac operator acts. We construct the complete set of eigenstates including zero modes. In the commutative limit, we recover known results.

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