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Noncommutative Instantons and Twistor Transform

✍ Scribed by Anton Kapustin; Alexander Kuznetsov; Dmitri Orlov

Book ID
105744097
Publisher
Springer
Year
2001
Tongue
English
Weight
338 KB
Volume
221
Category
Article
ISSN
0010-3616

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## Abstract I explain how to construct noncommutative BPS configurations in four and lower dimensions by solving linear matrix equations. Examples are solitons in __D__=2+1 Yang‐Mills‐Higgs, instantons in __D__=4 Yang‐Mills, monopoles in __D__=3 Yang‐Mills‐Higgs.

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A relationship between N = 2 supersymmetric Yang-Mills instantons on the Euclidean four space and certain holomorphic super vector bundles over super twistor space is investigated. We give the ADHM-matrix solutions of N = 2 supersymmetric instantons.