Under the Emergent String Conjecture and a no-sliding assumption, particle and brane charges must sit on a finite set of lattices, reproducing known string spectra and predicting new branes.
U-Duality and BPS Spectrum of Super Yang-Mills Theory and M-Theory
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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.
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Taxonomy of branes in infinite distance limits
Under the Emergent String Conjecture and a no-sliding assumption, particle and brane charges must sit on a finite set of lattices, reproducing known string spectra and predicting new branes.