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On Nahm's transformation with twisted boundary conditions

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arxiv hep-th/9811041 v1 pith:VQICJNUI submitted 1998-11-04 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords nahmnon-zeroself-dualtensortorustransformationtwistarrive
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Following two different tracks, we arrive at a definition of Nahm's transformation valid for self-dual fields on the 4-dimensional torus with non-zero twist tensor.The transform is again a self-dual gauge field defined on a new torus and with non-zero twist tensor. It preserves the property of being an involution.

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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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