Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-07-26
Phys.Rev.D82:085019,2010
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, an appendix added, version published in Phys.Rev.D
Scientific paper
10.1103/PhysRevD.82.085019
We formulate a Ginsparg-Wilson relation on a fuzzy 2-sphere for matter in the adjoint representation of the gauge group. Because of the Ginsparg-Wilson relation, an index theorem is satisfied. Our formulation is applicable to topologically nontrivial configurations as monopoles. It gives a solid basis for obtaining chiral fermions, which are an important ingredient of the standard model, from matrix model formulations of the superstring theory, such as the IIB matrix model, by considering topological configurations in the extra dimensions. We finally discuss whether this mechanism really works.
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