Generalised Chern-Simons Theory and G₂-Instantons over Associative Fibrations

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2014
• 1. Verfasser: Henrique N. Sá Earp
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут математики НАН України 2014
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/146620
• 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.

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...