منابع مشابه
The Dirac operator on the fuzzy sphere
We introduce the Fuzzy analog of spinor bundles over the sphere on which the non-commutative analog of the Dirac operator acts. We construct the complete set of eigenstates including zero modes. In the commutative limit we recover known results. *) Part of Project Nr. P8916-PHY of the " Fonds zur Förderung der wissenschaftlichen Forschung in¨Osterreich " .
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We solve for spectrum, obtain explicitly and study group properties of eigenfunc-tions of Dirac operator on the Riemann sphere S 2. The eigenvalues λ are nonzero integers. The eigenfunctions are two-component spinors that belong to representations of SU (2)-group with half-integer angular momenta l = |λ| − 1 2. They form on the sphere a complete orthonormal functional set alternative to convent...
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In the previous papers, we studied the ’t Hooft-Polyakov (TP) monopole configurations in the U(2) gauge theory on the fuzzy 2-sphere, and showed that they have nonzero topological charges in the formalism based on the Ginsparg-Wilson (GW) relation. In this paper, we will show an index theorem in the TP monopole background, which is defined in the projected space, and provide a meaning of the pr...
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ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 1995
ISSN: 0377-9017,1573-0530
DOI: 10.1007/bf00739805