Details
| Original language | English |
|---|---|
| Pages (from-to) | 65-74 |
| Number of pages | 10 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 612 |
| Issue number | 1-2 |
| Publication status | Published - 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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 612, No. 1-2, 14.04.2005, p. 65-74.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Noncommutative instantons in 4k dimensions
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.
PY - 2005/4/14
Y1 - 2005/4/14
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.
UR - http://www.scopus.com/inward/record.url?scp=15944415802&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2005.02.054
DO - 10.1016/j.physletb.2005.02.054
M3 - Article
AN - SCOPUS:15944415802
VL - 612
SP - 65
EP - 74
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1-2
ER -