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arxiv: hep-th/0109111 · v3 · submitted 2001-09-14 · ✦ hep-th · math-ph· math.AG· math.MP

Elongated U(1) Instantons on Noncommutative R⁴

classification ✦ hep-th math-phmath.AGmath.MP
keywords instantonelongatedgeneralnoncommutativeadhmcalculationchargechecked
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We found an exact solution of elongated U(1) instanton on noncommutative R^4 for general instanton number k. The deformed ADHM equation was solved with general k and the gauge connection and the curvature were given explicitly. We also checked our solutions and evaluated the instanton charge by a numerical calculation.

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