Ginsparg-Wilson Relation and ’t Hooft-Polyakov Monopole on Fuzzy 2-Sphere
نویسندگان
چکیده
We investigate several properties of Ginsparg-Wilson fermion on fuzzy 2-sphere. We first examine chiral anomaly up to the second order of the gauge field and show that it is indeed reduced to the correct form of the Chern character in the commutative limit. Next we study topologically non-trivial gauge configurations and their topological charges. We investigate ’t Hooft-Polyakov monopole type configuration on fuzzy 2-sphere and show that it has the correct commutative limit. We also consider more general configurations in our formulation. e-mail address: [email protected], [email protected] e-mail address: [email protected] e-mail address: [email protected] 1
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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 they have nonzero topological charge 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 projecti...
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