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Seiberg-Witten transforms of noncommutative solitons

Hashimoto, Koji and Ooguri, Hirosi (2001) Seiberg-Witten transforms of noncommutative solitons. Physical Review D, 64 (10). Art. No. 106005. ISSN 2470-0010.

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We 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 ρ. For large ρ, the profile of the D0-brane density of the instanton agrees surprisingly well with that of the Belavin-Polyakov-Schwarz-Tyupkin (BPST) instanton on commutative space.

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Ooguri, Hirosi0000-0001-6021-3778
Additional Information:© 2001 The American Physical Society. Received 12 June 2001; published 3 October 2001. We thank Yuji Okawa for useful discussions and for comments on the earlier version of this paper. H.O. thanks the Institute for Theoretical Physics, Santa Barbara, for the hospitality. K.H. was supported in part by Japan Society for the Promotion of Science under the Postdoctoral Research Program (#02482). H.O. was supported in part by the Department of Energy grant DE-FG03-92ER40701 and the Caltech Discovery Fund. In addition, this research was supported in part by the National Science Foundation under Grant No. PHY99-07949. Alternate preprint/report numbers -- arXiv:hep-th/0105311; CALT-68-2331; CITUSC/01-019; NSF-ITP-01-42
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Japan Society for the Promotion of Science (JSPS)02482
Department of Energy (DOE)DE-FG03-92ER40701
Caltech Discovery FundUNSPECIFIED
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Issue or Number:10
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3821
Deposited By: Tony Diaz
Deposited On:12 Jul 2006
Last Modified:02 Oct 2019 23:07

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