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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| 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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| 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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irk-123456789-1466202019-02-11T01:23:47Z Generalised Chern-Simons Theory and G₂-Instantons over Associative Fibrations Henrique N. Sá Earp 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. 2014 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Henrique N. Sá Earp |
| spellingShingle |
Henrique N. Sá Earp Generalised Chern-Simons Theory and G₂-Instantons over Associative Fibrations Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Henrique N. Sá Earp |
| author_sort |
Henrique N. Sá Earp |
| title |
Generalised Chern-Simons Theory and G₂-Instantons over Associative Fibrations |
| title_short |
Generalised Chern-Simons Theory and G₂-Instantons over Associative Fibrations |
| title_full |
Generalised Chern-Simons Theory and G₂-Instantons over Associative Fibrations |
| title_fullStr |
Generalised Chern-Simons Theory and G₂-Instantons over Associative Fibrations |
| title_full_unstemmed |
Generalised Chern-Simons Theory and G₂-Instantons over Associative Fibrations |
| title_sort |
generalised chern-simons theory and g₂-instantons over associative fibrations |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146620 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT henriquensaearp generalisedchernsimonstheoryandg2instantonsoverassociativefibrations |
| first_indexed |
2025-07-11T00:20:24Z |
| last_indexed |
2025-07-11T00:20:24Z |
| _version_ |
1837307807896961024 |