A Map between q-deformed and ordinary Gauge Theories
L. Mesref

TL;DR
This paper introduces a novel map connecting q-deformed gauge theories with ordinary gauge theories, inspired by the Seiberg-Witten map, ensuring compatibility with Hopf algebra structures.
Contribution
It presents a new theoretical map between q-deformed and ordinary gauge theories, extending the Seiberg-Witten framework to include Hopf algebra considerations.
Findings
Established a map aligning q-deformed and ordinary gauge theories.
Ensured the map respects Hopf algebra structures.
Provides a foundation for further exploration of q-deformed gauge symmetries.
Abstract
In complete analogy with Seiberg-Witten map defined in noncommutative geometry we introduce a new map between a q-deformed gauge theory and an ordinary gauge theory. The construction of this map is elaborated in order to fit the Hopf algebra structure.
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