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25 April 2024
 
  » arxiv » hep-th/0105311

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Seiberg-Witten Transforms of Noncommutative Solitons
Koji Hashimoto ; Hirosi Ooguri ;
Date 31 May 2001
Journal Phys.Rev. D64 (2001) 106005
Subject hep-th
AbstractWe evaluate the Seiberg-Witten map for solitons and instantons in noncommutative gauge theories in various dimensions. We show that solitons constructed using the projection operators have delta-function supports when expressed in the commutative variables. This gives a precise identification of the moduli of these solutions as locations of branes. On the other hand, an instanton solution in four dimensions allows deformation away from the projection operator construction. We evaluate the Seiberg-Witten transform of the U(2) instanton and show that it has a finite size determined by the noncommutative scale and by the deformation parameter ho. For large ho, the profile of the D0-brane density of the instanton agrees surprisingly well with that of the BPST instanton on commutative space.
Source arXiv, hep-th/0105311
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