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Exact construction of noncommutative instantons |
Masashi HAMANAKA1( ), Toshio NAKATSU2 |
| 1. Department of Mathematics, Nagoya University, Furocho, Chikusa-ku, Nagoya 464-8602, Japan; 2. Institute for Fundamental Sciences, Setsunan University, 17-8 Ikeda Nakamachi, Neyagawa, Osaka 572-8508, Japan |
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Abstract We discuss the Atiyah-Drinfeld-Hitchin-Manin (ADHM) construction of U(N) instantons in noncommutative (NC) space and give some exact instanton solutions for various noncommutative settings. We also present a new formula which is crucial to show an origin of the instanton number for U(1) and to prove the one-to-one correspondence between moduli spaces of the noncommutative instantons and the ADHM data.
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| Keywords
Instantons
noncommutative geometry
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Corresponding Author(s):
HAMANAKA Masashi,Email:hamanaka@math.nagoya-u.ac.jp
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Issue Date: 01 October 2013
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