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arXiv · hep-th/0012018

Singularities of the Seiberg-Witten map

Andrei G. Bytsko
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Abstract

We construct an explicit solution of the Seiberg-Witten map for a linear gauge field on the non-commutative plane. We observe that this solution as well as the solution for a constant curvature diverge when the non-commutativity parameter theta reaches certain event horizon in the theta-space. This implies that an ordinary Yang-Mills theory can be continuously deformed by the Seiberg-Witten map into a non-commutative theory only within one connected component of the theta-space.

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Andrei G. Bytsko. 2000-12-04. Singularities of the Seiberg-Witten map. https://doi.org/10.1088/1126-6708%2F2001%2F01%2F020

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