CLASSIFICATION OF GAUGE-RELATED INVARIANT CONNECTIONS
1993 ◽
Vol 05
(01)
◽
pp. 69-103
◽
Keyword(s):
Connection 1-forms on principal fiber bundles with arbitrary structure groups are considered, and a characterization of gauge-equivalent connections in terms of their associated holonomy groups is given. These results are then applied to invariant connections in the case where the symmetry group acts transitively on fibers, and both local and global conditions are derived which lead to an algebraic procedure for classifying orbits in the moduli space of these connections. As an application of the developed techniques, explicit solutions for SU (2) × SU (2)-symmetric connections over S2 × S2, with SU(2) structure group, are derived and classified into non-gauge-related families, and multi-instanton solutions are identified.
2005 ◽
Vol 07
(02)
◽
pp. 145-165
◽
Keyword(s):
1956 ◽
Vol 10
◽
pp. 105-123
◽
Keyword(s):
2013 ◽
Vol 10
(08)
◽
pp. 1360015
1957 ◽
Vol 12
◽
pp. 145-146
◽
Keyword(s):