Generalised Chern-Simons Theory and G2-Instantons over Associative Fibrations
Generalised Chern-Simons Theory and G2-Instantons over Associative Fibrations
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DOI：
10.3842/sigma.2014.083
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发表时间：
2014-01
影响因子：
0.9
通讯作者：
H. S. Earp
中科院分区：
文献类型：
--
作者：
H. S. Earp
将传统的Chern{Simons理论推广到G ~ 2-流形上，利用拉回论证描述了一类在T4上非平凡纤维的7维平坦环面上的丛上的G ~ 2-瞬子.此外，如果c26 0，任何（通用）变形的G2结构远离这样的一个非线性结构导致所有的瞬子消失。（共形兼容）关联纤维化一般背景下的简短调查f：Y 7！X 4涉及拉回丛f E上的G2-瞬子！Y和束E上的自对偶连接！X超过基数，这可能是一个独立的利益。
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 T 4 , by a pullback argument. Moreover, if c26 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 : Y 7 ! X 4 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.