Duality symmetry of N=4 Yang-Mills theory on T^3

Details Duality symmetry of N=4 Yang-Mills theory on T^3 Duality symmetry of N=4 Yang-Mills theory on T^3

1997-07-21

arxiv.org/abs/hep-th/9707179v2

Nucl.Phys. B508 (1997) 609-622

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Latex, no figures. Some eqns in section 4 on Nahm duality corrected

Scientific paper

10.1016/S0550-3213(97)00608-1

We study the spectrum of BPS states in N=4 supersymmetric U(N) Yang-Mills theory. This theory has been proposed to describe M-theory on T^3 in the discrete light-cone formalism. We find that the degeneracy of irreducible BPS bound states in this model exhibits a (partially hidden) SL(5,Z) duality symmetry. Besides the electro-magnetic symmetry, this duality group also contains Nahm-like transformations that interchange the rank N of the gauge group with some of the magnetic or electric fluxes. In the M-theory interpretation, this mapping amounts to a reflection that interchanges the longitudinal direction with one of the transverse directions.

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