dc.identifier.uri |
http://dx.doi.org/10.15488/90 |
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dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/108 |
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dc.contributor.author |
Deser, Andreas
|
|
dc.contributor.author |
Lechtenfeld, Olaf
|
|
dc.contributor.author |
Popov, Alexander D.
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|
dc.date.accessioned |
2015-10-30T13:52:00Z |
|
dc.date.available |
2015-10-30T13:52:00Z |
|
dc.date.issued |
2015 |
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dc.identifier.citation |
Deser, Andreas; Lechtenfeld, Olaf; Popov, Alexander D. (2015): Sigma-model limit of Yang–Mills instantons in higher dimensions. In: Nuclear Physics B 894, S. 361–373. DOI: http://dx.doi.org/10.1016/j.nuclphysb.2015.03.009 |
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dc.description.abstract |
We consider the Hermitian Yang–Mills (instanton) equations for connections on vector bundles over a 2n-dimensional Kähler manifold Xwhich is a product Y×Zof p-and q-dimensional Riemannian manifold Yand Zwith p+q=2n. We show that in the adiabatic limit, when the metric in the Zdirection is scaled down, the gauge instanton equations on Y×Zbecome sigma-model instanton equations for maps from Yto the moduli space M(target space) of gauge instantons on Zif q≥4. For q<4we get maps from Yto the moduli space Mof flat connections on Z. Thus, the Yang–Mills instantons on Y×Zconverge to sigma-model instantons on Ywhile Zshrinks to a point. Put differently, for small volume of Z, sigma-model instantons on Ywith target space Mapproximate Yang–Mills instantons on Y×Z. |
eng |
dc.description.sponsorship |
DFG/LE/838/13 |
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dc.language.iso |
eng |
eng |
dc.publisher |
Amsterdam : Elsevier Science BV |
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dc.relation.ispartofseries |
Nuclear Physics B 894 (2015) |
|
dc.relation.isversionof |
http://arxiv.org/abs/1412.4258 |
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dc.relation.isversionof |
http://arxiv.org/abs/1412.4258v3 |
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dc.rights |
CC BY 4.0 Unported |
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dc.rights.uri |
http://creativecommons.org/licenses/by/4.0/ |
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dc.subject |
high energy physics |
eng |
dc.subject |
theory |
eng |
dc.subject |
mathematical physics |
eng |
dc.subject |
mathematics |
eng |
dc.subject |
differential geometry |
eng |
dc.subject |
stable vector-bundles |
eng |
dc.subject |
chern-simons theory |
eng |
dc.subject |
greater-than 4 |
eng |
dc.subject |
gauge-theory |
eng |
dc.subject |
calibrated geometry |
eng |
dc.subject |
holonomy manifolds |
eng |
dc.subject |
fields |
eng |
dc.subject |
equations |
eng |
dc.subject |
connections |
eng |
dc.subject |
reduction |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Sigma-model limit of Yang–Mills instantons in higher dimensions |
eng |
dc.type |
Article |
|
dc.type |
Text |
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dc.relation.issn |
0550-3213 |
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dc.relation.doi |
http://dx.doi.org/10.1016/j.nuclphysb.2015.03.009 |
|
dc.bibliographicCitation.volume |
894 |
|
dc.bibliographicCitation.firstPage |
361 |
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dc.bibliographicCitation.lastPage |
373 |
|
dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
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