Ginsparg-Wilson Relation and Admissibility Condition in Noncommutative Geometry

TL;DR

This paper explores how the Ginsparg-Wilson relation and admissibility condition are essential for defining chiral structures in noncommutative geometries and matrix models, aiding the construction of lattice chiral gauge theories.

Contribution

It discusses the application of Ginsparg-Wilson relation and admissibility condition in finite noncommutative geometries and matrix models, highlighting their usefulness.

Findings

Clarifies the role of Ginsparg-Wilson relation in noncommutative geometry

Highlights the importance of admissibility condition for chiral gauge theories

Provides insights into finite noncommutative geometries and matrix models

Abstract

Ginsparg-Wilson relation and admissibility condition have the key role to construct lattice chiral gauge theories. They are also useful to define the chiral structure in finite noncommutative geometries or matrix models. We discuss their usefulness briefly.