Non-trivial flat connections on the 3-torus II: The exceptional groups F_4 and E_6,7,8

Details Non-trivial flat connections on the 3-torus II: The exceptional groups F_4 and E_6,7,8 Non-trivial flat connections on the 3-torus II: The exceptional groups F_4 and E_6,7,8

1999-02-25

arxiv.org/abs/hep-th/9902186v1

JHEP 9905 (1999) 014

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 25 pages, 1 figure

Scientific paper

10.1088/1126-6708/1999/05/014

We continue the construction of non-trivial vacua for gauge theories on the 3-torus, started in hep-th/9901154. Application of constructions based on twist in SU(N) with N > 2 produce more extra vacua in theories with exceptional groups. We calculate the relevant unbroken subgroups, and their contribution to the Witten index. We show that the extra vacua we find in the exceptional groups are sufficient to solve the Witten index problem for these groups.

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