Singularities of the Seiberg-Witten map | Zendy

Andrei Bytsko | Zendy

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Singularities of the Seiberg-Witten map

Author(s) -

Andrei Bytsko

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/01/020

Subject(s) - gravitational singularity , commutative property , curvature , constant curvature , pure mathematics , plane (geometry) , space (punctuation) , constant (computer programming) , mathematics , mathematical analysis , mathematical physics , physics , geometry , computer science , operating system , programming language

We construct an explicit solution of the Seiberg-Witten map for a lineargauge field on the non-commutative plane. We observe that this solution as wellas the solution for a constant curvature diverge when the non-commutativityparameter theta reaches certain event horizon in the theta-space. This impliesthat an ordinary Yang-Mills theory can be continuously deformed by theSeiberg-Witten map into a non-commutative theory only within one connectedcomponent of the theta-space.Comment: 8 pages, LaTe

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