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Calorons, Nahm's equations on S^1 and bundles over P^1xP^1

Benoit Charbonneau·Jacques Hurtubise
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Abstract

The moduli space of solutions to Nahm's equations of rank (k,k+j) on the circle, and hence, of SU(2) calorons of charge (k,j), is shown to be equivalent to the moduli of holomorphic rank 2 bundles on P^1xP^1 trivialized at infinity with c_2=k and equipped with a flag of degree j along P^1x{0}. An explicit matrix description of these spaces is given by a monad construction

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Benoit Charbonneau, Jacques Hurtubise. 2006-10-26. Calorons, Nahm's equations on S^1 and bundles over P^1xP^1. https://doi.org/10.1007/s00220-008-0468-7

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