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- W2068090527 abstract "A gauge theory of GL (2) gauge group is considered on a complex manifold and hermitian connections of holomorphic vector bundles of rank 2 over a compact complex manifold M are abelianized using monoidal transformation. The abelianized connections of the line bundle over a manifold M̃ as a P 1 fibre over M are constructed explicitly. The Wilson loop of the GL (2, C) gauge theory is abelianized to that of C ∗ gauge theory. By this the Polyakov conjecture is verified for a GL (2) gauge theory on a complex manifold." @default.
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- W2068090527 date "2002-08-01" @default.
- W2068090527 modified "2023-09-26" @default.
- W2068090527 title "Abelianization of Wilson loop of non-Abelian gauge theory on complex manifold and Polyakov's conjecture" @default.
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- W2068090527 doi "https://doi.org/10.1016/s0034-4877(02)80045-3" @default.
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