dc.identifier.uri |
http://dx.doi.org/10.15488/5112 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/5156 |
|
dc.contributor.author |
Haupt, Alexander S.
|
|
dc.contributor.author |
Ivanova, Tatiana A.
|
|
dc.contributor.author |
Lechtenfeld, Olaf
|
|
dc.contributor.author |
Popov, Alexander D.
|
|
dc.date.accessioned |
2019-07-09T06:32:00Z |
|
dc.date.available |
2019-07-09T06:32:00Z |
|
dc.date.issued |
2011 |
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dc.identifier.citation |
Haupt, A.S.; Ivanova, T.A.; Lechtenfeld, O.; Popov, A.D.: Chern-Simons flows on Aloff-Wallach spaces and spin(7) instantons. In: Physical Review D 83 (2011), Nr. 10, 105028. DOI: https://doi.org/10.1103/PhysRevD.83.105028 |
|
dc.description.abstract |
Because of their explicit construction, Aloff-Wallach spaces are prominent in flux compactifications. They carry G2 structures and admit the G2-instanton equations, which are natural Bogomol’nyi-Prasad-Sommerfeld equations for Yang-Mills instantons on seven-manifolds and extremize a Chern-Simons–type functional. We consider the Chern-Simons flow between different G2 instantons on Aloff-Wallach spaces, which is equivalent to spin(7) instantons on a cylinder over them. For a general SU(3)-equivariant gauge connection, the generalized instanton equations turn into gradient-flow equations on C3×R2, with a particular cubic superpotential. For the simplest member of the Aloff-Wallach family (with 3-Sasakian structure) we present an explicit instanton solution of tanh-like shape. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
College Park (Maryland) : American Physical Society |
|
dc.relation.ispartofseries |
Physical Review D |
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dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
|
dc.subject |
Aloff-Wallach |
eng |
dc.subject |
Bogomol’nyi-Prasad-Sommerfeld |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Chern-Simons flows on Aloff-Wallach spaces and spin(7) instantons |
eng |
dc.type |
Article |
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dc.type |
Text |
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dc.relation.essn |
1089-4918 |
|
dc.relation.essn |
1550-2368 |
|
dc.relation.essn |
2470-0029 |
|
dc.relation.issn |
0556-2821 |
|
dc.relation.issn |
1550-7998 |
|
dc.relation.doi |
https://doi.org/10.1103/PhysRevD.83.105028 |
|
dc.bibliographicCitation.issue |
10 |
|
dc.bibliographicCitation.volume |
83 |
|
dc.bibliographicCitation.firstPage |
105028 |
|
dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
|