Phys. Rev. D 63, 125020 (2001) [8 pages]Classical Yang-Mills vacua on T3: Explicit constructionsReceived 2 November 2000; published 21 May 2001 Flat connections for unitary gauge groups on a 3-torus with twisted boundary conditions as well as recently discovered periodic nontrivial flat connections with “nondiagonalizable” triples of holonomies for higher orthogonal and exceptional groups are constructed explicitly in terms of Jacobi theta functions with rational characteristics. The (fractional) Chern-Simons numbers of these vacuum gauge field configurations are verified by direct computation. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.63.125020
DOI:
10.1103/PhysRevD.63.125020
PACS:
11.15.Tk
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