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Nahm dualities on the torus - a synthesis

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arxiv hep-th/9905138 v1 pith:DECBJK7X submitted 1999-05-18 hep-th hep-lat

M. Garcia Perez , A. Gonzalez-Arroyo , C. Pena , P. van Baal This is my paper · ORCID
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keywords nahmtorusdualanalyticalbecomingboundarycaloronscase
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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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  1. The Nahm transform of multi-fractional instantons

    hep-th 2024-11 conditional novelty 7.0 of 10

    A fractional SU(N) instanton of charge r/N, embedded with U(1) fluxes, has a Nahm dual that is an SU(Nhat) fractional instanton of charge r/Nhat, with Nhat = N q1 q3 - r q3 + q1.

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