The Noncommutative U(N) Kalb-Ramond Theory
R. Amorim, C. N. Ferreira, C. F. L. Godinho
TL;DR
This paper develops a noncommutative extension of the U(N) Kalb-Ramond theory, detailing its gauge structure and constructing the Seiberg-Witten map up to second order in the noncommutativity parameter.
Contribution
It introduces a noncommutative version of the U(N) Kalb-Ramond theory and constructs the Seiberg-Witten map up to second order, advancing the understanding of gauge theories in noncommutative geometry.
Findings
Noncommutative U(N) Kalb-Ramond theory formulated.
Seiberg-Witten map constructed up to second order in θ.
Detailed gauge and differential form structures provided.
Abstract
We present the noncommutative extention of the U(N) Cremmer-Scherk-Kalb-Ramond theory, displaying its differential form and gauge structures. The Seiberg-Witten map of the model is also constructed up to .
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