Abstract:
Nahm’s construction of magnetic monopoles produced all monopoles with gauge (structure) group G=U(n).  It was generalized by Hurtubise and Murray to SO and Sp monopoles.  For any compact Lie group G, in principle, Nahm’s construction can be used to obtain monopoles in any given unitary representation of G.  For example, for G=E_8, the smallest such representation has dimension 248, making this construction highly impractical, if at all tractable.

We explore an alternative encoding of monopole data, based of recent work of Bielawski and Foscolo, motivating it from the D-brane configuration in Kleinian surface of ADE type.  The type of the surface corresponds to the monopole structure group G.  While it seems to reproduce the monopole moduli space correctly, the actual monopole construction remains an open question.  This talk is an attempt to reconstruct the monopole from the string theory analysis of the concrete brane configuration.