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.
Algebraic Aspects of Matrix Theory on T^d
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abstract
We study the exceptional U duality group $E_d$ of M-theory compactified on a d-torus and its representations using Matrix theory. We exhibit the $E_d$ structure and show that p-branes wrapped or unwrapped around the longitudinal direction form representations of the U duality group together with other, more mysterious, states.
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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.