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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2014 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2014
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146620 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862725505931804672 |
|---|---|
| author | Henrique N. Sá Earp |
| author_facet | Henrique N. Sá Earp |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T18:53:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146620 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:53:06Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Henrique N. Sá Earp 2019-02-10T10:11:10Z 2019-02-10T10:11:10Z 2014 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 https://nasplib.isofts.kiev.ua/handle/123456789/146620 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. The author thanks Simon Donaldson for suggesting the matter of this paper, Thomas Walpuski
 for sharing some unpublished notes and Marcos Jardim for several useful discussions. Special
 thanks also to the anonymous referees for numerous mathematical and reference contributions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Generalised Chern-Simons Theory and G₂-Instantons over Associative Fibrations Article published earlier |
| spellingShingle | Generalised Chern-Simons Theory and G₂-Instantons over Associative Fibrations Henrique N. Sá Earp |
| title | 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_short | Generalised Chern-Simons Theory and G₂-Instantons over Associative Fibrations |
| title_sort | generalised chern-simons theory and g₂-instantons over associative fibrations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146620 |
| work_keys_str_mv | AT henriquensaearp generalisedchernsimonstheoryandg2instantonsoverassociativefibrations |