Instanton Moduli for T**3xR

Details Instanton Moduli for T**3xR Instanton Moduli for T**3xR

1995-12-30

arxiv.org/abs/hep-th/9512223v2

Nucl.Phys.Proc.Suppl. 49 (1996) 238-249

Physics

High Energy Physics

High Energy Physics - Theory

12p with 3 figs, uufiles -gz format. Talk at the 29th Int. Symp. on the Theory of Elem. Part., Buckow, 29 Aug.-2 Sept., 1995.

Scientific paper

10.1016/0920-5632(96)00340-4

We review the specific problems that arise when studying instantons on a torus. We discuss how the Nahm transformation shows that no exact charge one instanton on T**4 can exist. However, taking one of the directions (the time) to infinity, it can be shown that vacuum to vacuum tunnelling solutions exist. A precise description of the moduli space for T**3xR, studied numerically using lattice techniques, remains an interesting open problem. New is an explicit application of the Nahm transformation to (anti-)selfdual constant curvature solutions on T**4 and a discussion of its properties relevant to instantons on T**3xR.

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