Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 107-115 |
| Seitenumfang | 9 |
| Fachzeitschrift | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Jahrgang | 567 |
| Ausgabenummer | 1-2 |
| Publikationsstatus | Veröffentlicht - 7 Aug. 2003 |
Abstract
Generalizing self-duality on ℝ2 x S2 to higher dimensions, we consider the Donaldson-Uhlenbeck-Yau equations on ℝ 2n x S2 and their noncommutative deformation for the gauge group U(2). Imposing SO(3) invariance (up to gauge transformations) reduces these equations to vortex-type equations for an Abelian gauge field and a complex scalar on ℝθ2n. For a special S 2-radius R depending on the noncommutativity θ we find explicit solutions in terms of shift operators. These vortex-like configurations on ℝθ2n determine SO(3)-invariant multi-instantons on ℝθ2n x SR2 for R = R(θ). The latter may be interpreted as sub-branes of codimension 2n inside a coincident pair of noncommutative Dp-branes with an S2 factor of suitable size.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Kern- und Hochenergiephysik
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in: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Jahrgang 567, Nr. 1-2, 07.08.2003, S. 107-115.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Noncommutative multi-instantons on ℝ2n x S2
AU - Ivanova, Tatiana A.
AU - Lechtenfeld, Olaf
N1 - Funding Information: The authors are grateful to A.D. Popov for fruitful discussions and for reading the manuscript. O.L. wishes to thank B.-H. Lee for discussions. 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 grant LE-838/7 within the framework of the DFG priority program (SPP 1096) in string theory. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2003/8/7
Y1 - 2003/8/7
N2 - Generalizing self-duality on ℝ2 x S2 to higher dimensions, we consider the Donaldson-Uhlenbeck-Yau equations on ℝ 2n x S2 and their noncommutative deformation for the gauge group U(2). Imposing SO(3) invariance (up to gauge transformations) reduces these equations to vortex-type equations for an Abelian gauge field and a complex scalar on ℝθ2n. For a special S 2-radius R depending on the noncommutativity θ we find explicit solutions in terms of shift operators. These vortex-like configurations on ℝθ2n determine SO(3)-invariant multi-instantons on ℝθ2n x SR2 for R = R(θ). The latter may be interpreted as sub-branes of codimension 2n inside a coincident pair of noncommutative Dp-branes with an S2 factor of suitable size.
AB - Generalizing self-duality on ℝ2 x S2 to higher dimensions, we consider the Donaldson-Uhlenbeck-Yau equations on ℝ 2n x S2 and their noncommutative deformation for the gauge group U(2). Imposing SO(3) invariance (up to gauge transformations) reduces these equations to vortex-type equations for an Abelian gauge field and a complex scalar on ℝθ2n. For a special S 2-radius R depending on the noncommutativity θ we find explicit solutions in terms of shift operators. These vortex-like configurations on ℝθ2n determine SO(3)-invariant multi-instantons on ℝθ2n x SR2 for R = R(θ). The latter may be interpreted as sub-branes of codimension 2n inside a coincident pair of noncommutative Dp-branes with an S2 factor of suitable size.
UR - http://www.scopus.com/inward/record.url?scp=0042663972&partnerID=8YFLogxK
U2 - 10.1016/S0370-2693(03)00868-2
DO - 10.1016/S0370-2693(03)00868-2
M3 - Article
AN - SCOPUS:0042663972
VL - 567
SP - 107
EP - 115
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 -