Details
| Original language | English |
|---|---|
| Pages (from-to) | 2419-2430 |
| Number of pages | 12 |
| Journal | Modern Physics Letters A |
| Volume | 19 |
| Issue number | 32 |
| Publication status | Published - 20 Oct 2004 |
Abstract
There exists a recursive algorithm for constructing BPST-type multi-instantons on commutative ℝ4. When deformed noncommutatively, however, it becomes difficult to write down non-singular instanton configurations with topological charge greater than one in explicit form. We circumvent this difficulty by allowing for the translational instanton moduli to become noncommutative as well. Such a scenario is natural in the self-dual Yang-Mills hierarchy of integrable equations where the moduli of solutions are seen as extended spacetime coordinates associated with higher flows. By judicious adjustment of the moduli-noncommutativity we achieve the ADHM construction of generalized 't Hooft multi-instanton solutions with everywhere self-dual field strengths on noncommutative ℝ4.
Keywords
- ADHM construction, Instantons, Noncommutative gauge theory
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Astronomy and Astrophysics
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Modern Physics Letters A, Vol. 19, No. 32, 20.10.2004, p. 2419-2430.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Noncommutative moduli for multi-instantons
AU - Ivanova, Tatiana A.
AU - Lechtenfeld, Olaf
AU - Müller-Ebhardt, Helge
N1 - Funding Information: The authors are grateful to A.D. Popov for fruitful discussions and for reading the manuscript. T.A.I. acknowledges the Heisenberg–Landau Program for partial support and the Institut für Theoretische Physik der Universität Hannover for its hospitality. This work was partially supported by the Deutsche Forschungsgemein-schaft (DFG). Copyright: Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2004/10/20
Y1 - 2004/10/20
N2 - There exists a recursive algorithm for constructing BPST-type multi-instantons on commutative ℝ4. When deformed noncommutatively, however, it becomes difficult to write down non-singular instanton configurations with topological charge greater than one in explicit form. We circumvent this difficulty by allowing for the translational instanton moduli to become noncommutative as well. Such a scenario is natural in the self-dual Yang-Mills hierarchy of integrable equations where the moduli of solutions are seen as extended spacetime coordinates associated with higher flows. By judicious adjustment of the moduli-noncommutativity we achieve the ADHM construction of generalized 't Hooft multi-instanton solutions with everywhere self-dual field strengths on noncommutative ℝ4.
AB - There exists a recursive algorithm for constructing BPST-type multi-instantons on commutative ℝ4. When deformed noncommutatively, however, it becomes difficult to write down non-singular instanton configurations with topological charge greater than one in explicit form. We circumvent this difficulty by allowing for the translational instanton moduli to become noncommutative as well. Such a scenario is natural in the self-dual Yang-Mills hierarchy of integrable equations where the moduli of solutions are seen as extended spacetime coordinates associated with higher flows. By judicious adjustment of the moduli-noncommutativity we achieve the ADHM construction of generalized 't Hooft multi-instanton solutions with everywhere self-dual field strengths on noncommutative ℝ4.
KW - ADHM construction
KW - Instantons
KW - Noncommutative gauge theory
UR - http://www.scopus.com/inward/record.url?scp=7244252905&partnerID=8YFLogxK
U2 - 10.1142/S0217732304015464
DO - 10.1142/S0217732304015464
M3 - Article
AN - SCOPUS:7244252905
VL - 19
SP - 2419
EP - 2430
JO - Modern Physics Letters A
JF - Modern Physics Letters A
SN - 0217-7323
IS - 32
ER -