Ginsparg-Wilson relation on a fuzzy 2-sphere for adjoint matter

Details Ginsparg-Wilson relation on a fuzzy 2-sphere for adjoint matter Ginsparg-Wilson relation on a fuzzy 2-sphere for adjoint matter

2010-07-26

arxiv.org/abs/1007.4420v2

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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