U-Duality and BPS Spectrum of Super Yang-Mills Theory and M-Theory

Abstract

It is shown that the BPS spectrum of Super-Yang-Mills theory on $T^d\times \mathbb{R}$, which fits into representations of the U-duality group for M-theory compactified on $T^d$, in accordance with the matrix-theory conjecture, in fact fits into representations of the U-duality group for M-theory on $T^{d+1}$, the extra dualities realised as generalised Nahm transformations. The spectrum of BPS M-branes is analysed, new branes are discussed and matrix theory applications described.

18 Pages, Tex, Phyzzx Macro. References added, minor corrections

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