Ginsparg-Wilson relation on a fuzzy 2-sphere for adjoint matter
High Energy Physics - Theory
2010-10-27 v2 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
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.
Cite
@article{arxiv.1007.4420,
title = {Ginsparg-Wilson relation on a fuzzy 2-sphere for adjoint matter},
author = {Hajime Aoki},
journal= {arXiv preprint arXiv:1007.4420},
year = {2010}
}
Comments
27 pages, an appendix added, version published in Phys.Rev.D