Pre-symplectic structures on the space of connections
Pre-symplectic structures on the space of connections
复制标题
连接空间上的预辛结构
DOI：
10.7546/giq-16-2015-188-194
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发表时间：
2013
影响因子：
0.5
通讯作者：
Tosiaki Kori
中科院分区：
文献类型：
--
作者：
Tosiaki Kori
设X为边界为3流形M的四流形，我们将描述(i) X上平凡的SU(n)-束的连接空间上的一个预辛结构，它来自于连接空间的余切束上的正则辛结构，以及（ii） M上平凡的SU(n)-束具有零电荷的平坦连接空间上的一个预辛结构。这两个结构通过边界限制图联系起来。在规范变换群的作用下，讨论了连接空间的哈密顿特征。
Let X be a four-manifold with boundary three manifold M. We shall describe (i) a pre-symplectic structure on the space of connections of the trivial SU(n)-bundle over X that comes from the canonical symplectic structure on the cotangent bundle of the connection space, and (ii) a pre-symplectic structure on the space of flat connections of the trivial SU(n)-bundle over M that have null charge. These two structures are related by the boundary restriction map. We discuss also the Hamiltonian feature of the space of connections with the action of the group of gauge transformations.