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arXiv · hep-th/9707179

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

Feike Hacquebord·Herman Verlinde
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Abstract

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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Feike Hacquebord, Herman Verlinde. 1997-07-29. Duality symmetry of N=4 Yang-Mills theory on T^3. https://doi.org/10.1016/s0550-3213(97)00608-1

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