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arXiv · hep-th/9905138

Nahm dualities on the torus - a synthesis

M. Garcia Perez·A. Gonzalez-Arroyo·C. Pena·P. van Baal
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Abstract

We give a unified description of self-dual SU(2) gauge fields on tori of size lt x ls^3 based on a mixture of analytical and numerical methods using the Nahm transformation, extended to the case of twisted boundary conditions. We show how torus calorons (lt/ls small) are Nahm dual to the torus instantons (lt/ls large). Holonomies are dual to the locations of constituents, this duality becoming exact in the limiting cases ls or lt --> infinity. Implications for the moduli spaces are discussed.

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M. Garcia Perez, A. Gonzalez-Arroyo, C. Pena, P. van Baal. 1999-05-18. Nahm dualities on the torus - a synthesis. https://doi.org/10.1016/s0550-3213(99)00523-4

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