Generalised Chern-Simons Theory and G₂-Instantons over Associative Fibrations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Generalised Chern-Simons Theory and G₂-Instantons over Associative Fibrations
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| Creator |
Henrique N. Sá Earp
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| Description |
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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| Date |
2019-02-10T10:11:10Z
2019-02-10T10:11:10Z 2014 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 53C07; 53C38; 58J28 DOI:10.3842/SIGMA.2014.083 http://dspace.nbuv.gov.ua/handle/123456789/146620 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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