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Seiberg-Witten maps are a well-established method to locally construct noncommutative gauge theories starting from commutative gauge theories.
M. A. Rieffel, “C
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1999
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1999
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B. Jurčo, P. Schupp, and J. Wess, “NonAbelian noncommutative gauge theory via noncommutative extra dimensions,”
2001
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B. Jurco, L. Moller, S. Schraml, P. Schupp, and J. Wess, “Construction of nonAbelian gauge theories on noncommutative spaces,”
2001
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B. Jurčo, P. Schupp, and J. Wess, “Noncommutative line bundle and Morita equivalence,”
2002
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B. Suo, P. Wang, and L. Zhao, “Ambiguities of the Seiberg-Witten map in the presence of matter field,”
2002
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A. Konechny and A. S. Schwarz, “Introduction to M(atrix) theory and noncommutative geometry,”
2002
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P. Aschieri, B. Jurčo, P. Schupp, and J. Wess, “Noncommutative GUTs, standard model and C,P,T,”
2003
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K. Ulker and B. Yapiskan, “Seiberg-Witten maps to all orders,”
2008
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2012
Later among the works it cites.