Generalised Chern-Simons Theory and G₂-Instantons over Associative Fibrations
Adjusting conventional Chern-Simons theory to G₂-manifolds, one describes G₂-instantons on bundles over a certain class of 7-dimensional flat tori which fiber non-trivially over T⁴, by a pullback argument. Moreover, if c₂≠0, any (generic) deformation of the G₂-structure away from such a fibred struc...
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| Datum: | 2014 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2014
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/146620 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Generalised Chern-Simons Theory and G₂-Instantons over Associative Fibrations / Henrique N. Sá Earp // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 18 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | Adjusting conventional Chern-Simons theory to G₂-manifolds, one describes G₂-instantons on bundles over a certain class of 7-dimensional flat tori which fiber non-trivially over T⁴, by a pullback argument. Moreover, if c₂≠0, any (generic) deformation of the G₂-structure away from such a fibred structure causes all instantons to vanish. A brief investigation in the general context of (conformally compatible) associative fibrations f:Y⁷→X⁴ relates G₂-instantons on pullback bundles f∗E→Y and self-dual connections on the bundle E→X over the base, a fact which may be of independent interest. |
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