Noncommutative instantons in 4k dimensions

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OriginalspracheEnglisch
Seiten (von - bis)65-74
Seitenumfang10
FachzeitschriftPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Jahrgang612
Ausgabenummer1-2
PublikationsstatusVeröffentlicht - 14 Apr. 2005

Abstract

We consider Ward's generalized self-duality equations for U(2m) Yang-Mills theory on ℝ4k and their Moyal deformation under self-dual noncommutativity. Employing an extended ADHM construction we find two kinds of explicit solutions, which generalize the 't Hooft and BPST instantons from ℝ4 to noncommutative ℝ4k. The BPST-type configurations appear to be new even in the commutative case.

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Noncommutative instantons in 4k dimensions. / Ivanova, Tatiana A.; Lechtenfeld, Olaf.
in: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Jahrgang 612, Nr. 1-2, 14.04.2005, S. 65-74.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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AU - Ivanova, Tatiana A.

AU - Lechtenfeld, Olaf

N1 - Funding Information: The authors are grateful to A.D. Popov for fruitful discussions and useful comments. T.A.I. acknowledges the Heisenberg–Landau Program and RFBR for partial support and the Institut für Theoretische Physik der Universität Hannover for its hospitality. This work was partially supported by the Deutsche Forschungsgemeinschaft (DFG). Copyright: Copyright 2017 Elsevier B.V., All rights reserved.

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N2 - We consider Ward's generalized self-duality equations for U(2m) Yang-Mills theory on ℝ4k and their Moyal deformation under self-dual noncommutativity. Employing an extended ADHM construction we find two kinds of explicit solutions, which generalize the 't Hooft and BPST instantons from ℝ4 to noncommutative ℝ4k. The BPST-type configurations appear to be new even in the commutative case.

AB - We consider Ward's generalized self-duality equations for U(2m) Yang-Mills theory on ℝ4k and their Moyal deformation under self-dual noncommutativity. Employing an extended ADHM construction we find two kinds of explicit solutions, which generalize the 't Hooft and BPST instantons from ℝ4 to noncommutative ℝ4k. The BPST-type configurations appear to be new even in the commutative case.

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