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Connections and Higgs fields on a principal bundle

✍ Scribed by Indranil Biswas; Tomás L. Gómez


Publisher
Springer
Year
2007
Tongue
English
Weight
355 KB
Volume
33
Category
Article
ISSN
0232-704X

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Given a transitive action of a symmetry group \(G\) on the base space \(B\) of a non-Abelian principal bundle \(\mathscr{P}_{t}\) with a connection \(\omega\), we study the way this action can be lifted to a certain action of \(G\) on \(\mathscr{P}_{\omega}\) leaving invariant \(\omega\). We show th

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Budzyński and Kondracki [Rep. Math. Phys. 37 (1996) 365] have introduced a notion of locally trivial quantum principal fibre bundle making use of an algebraic notion of covering, which allows a reconstruction of the bundle from local pieces. Following this approach, we construct covariant different