Symmetry Integrability and Geometry-Methods and Applications | |
Generalised Chern-Simons Theory and G 2 -Instantons over Associative Fibrations | |
article | |
Henrique N. Sá Earp1  | |
[1] Imecc - Institute of Mathematics | |
关键词: Chern–Simons; Yang–Mills; G2-manifolds; associative fibrations; | |
DOI : 10.3842/SIGMA.2014.083 | |
来源: National Academy of Science of Ukraine | |
【 摘 要 】
Adjusting conventional Chern-Simons theory to ${\rm G}_2$-manifolds, one describes ${\rm G}_2$-instantons on bundles over a certain class of $7$-dimensional flat tori which fiber non-trivially over $T^4$, by a pullback argument. Moreover, if $c_2\neq0$, any (generic) deformation of the ${\rm G}_2$-structure away from such a fibred structure causes all instantons to vanish. A brief investigation in the general context of (conformally compatible) associative fibrations $f:Y^7\to X^4$ relates ${\rm G}_2$-instantons on pullback bundles $f^*E\to Y$ and self-dual connections on the bundle $E\to X$ over the base, a fact which may be of independent interest.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO202106300001315ZK.pdf | 398KB | download |