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 $T^d\times \R$, 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.