G2 monopoles
Abstract
We investigate some aspects of Bogomolny-Prasad-Sommerfield monopole solutions in the Yang-Mills-Higgs theory with exceptional gauge group G2 spontaneously broken to U(1)× U(1). Corresponding homotopy group is π2(G2/U(1)× U(1)) and similar to the SU(3) theory, the G2 monopoles are classified by two topological charges (n1,n2). In fundamental representation these yield a subset of SO(7) monopole configurations. Through inspection of the structure of Alg(G2), we propose an extension of the Nahm construction to the (n,1)G2 monopoles. For (1,1)G2 monopole the Nahm data are written explicitly.
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