Chern-Simons flows on Aloff-Wallach spaces and spin(7) instantons

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dc.identifier.uri Haupt, Alexander S. Ivanova, Tatiana A. Lechtenfeld, Olaf Popov, Alexander D. 2019-07-09T06:32:00Z 2019-07-09T06:32:00Z 2011
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:
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
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
dc.type Text
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.bibliographicCitation.issue 10
dc.bibliographicCitation.volume 83
dc.bibliographicCitation.firstPage 105028
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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