From the fuzzy disc to edge currents in Chern-Simons Theory

TL;DR

This paper reviews the fuzzy disc as a finite algebra approximation of functions on a disc and compares it with recent work on edge states in Chern-Simons theory, highlighting their relation.

Contribution

It introduces the fuzzy disc and compares it with recent approaches to edge states in Chern-Simons theory, clarifying their connections.

Findings

Fuzzy disc provides a finite algebra approximation of functions on a disc.

Comparison clarifies the relation between fuzzy disc and edge states in Chern-Simons theory.

Highlights differences and similarities with recent related research.

Abstract

We present a brief review of the fuzzy disc, the finite algebra approximating functions on a disc, which we have introduced earlier. We also present a comparison with recent papers of Balachandran, Gupta and K\"urk\c{c}\"{u}o\v{g}lu, and of Pinzul and Stern, aimed at the discussion of edge states of a Chern-Simons theory.