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An Exact Solution to Seiberg-Witten Equation of Noncommutative Gauge Theory

arXiv:hep-th/0104036 · doi:10.1103/PhysRevD.64.046009

Abstract

We derive an exact expression for the Seiberg-Witten map of noncommutative gauge theory. It is found by studying the coupling of the gauge field to the Ramond-Ramond potentials in string theory. Our result also proves the earlier conjecture by Liu.

20 pages, LaTeX2e; v2: references added, typos corrected; v3: The proof improved. (The gauge theory proof of the Seiberg-Witten map is separated from discussion of its string theory origin.) References added. Version to appear in Phys. Rev. D