What is the Seiberg-Witten map exactly?

TL;DR

This paper offers a conceptual understanding of the Seiberg-Witten map by framing it as a quasi-isomorphism between $A_ abla$-algebras, providing a new algebraic perspective on its structure.

Contribution

It introduces a novel algebraic interpretation of the Seiberg-Witten map using $A_ abla$-algebras and quasi-isomorphisms, advancing theoretical understanding.

Findings

Seiberg-Witten map characterized as a quasi-isomorphism

Provides a new algebraic framework for the map

Enhances conceptual understanding of noncommutative gauge theories

Abstract

We give a conceptual treatment of the Seiberg-Witten map as a quasi-isomorphism of $A_\infty$-algebras.