313 citations · 4.5k across the 92 of their papers we have counts for
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Chiral Anomaly and Ginsparg-Wilson Relation on the Noncommutative Torus
Satoshi Iso, Keiichi Nagao
We evaluate chiral anomaly on the noncommutative torus with the overlap Dirac operator satisfying the Ginsparg-Wilson relation in arbitrary even dimensions. Utilizing a topological…
Ginsparg-Wilson Relation, Topological Invariants and Finite Noncommutative Geometry
Hajime Aoki, Satoshi Iso, Keiichi Nagao
We show that the Ginsparg-Wilson (GW) relation can play an important role to define chiral structures in {\it finite} noncommutative geometries. Employing GW relation, we can prove…
Chiral Anomaly on Fuzzy 2-Sphere
Hajime Aoki, Satoshi Iso, Keiichi Nagao
We investigate chiral anomaly for fermions in fundamental representation on noncommutative (fuzzy) 2-sphere. In spite that this system is realized by finite dimensional matrices an…
Orbifold Matrix Model
H. Aoki, S. Iso, T. Suyama
We study a matrix model describing type IIB superstring in orbifold backgrounds. We particularly consider a {\bf C}^3/{\bf Z}_3 orbifold model whose six dimensional transverse spac…