Physical States and String Symmetries
P. C. West
Abstract
It is shown that if the momenta belong to an integral lattice, then every physical state of string theory leads to a symmetry of the scattering amplitudes. We discuss the role of this symmetry when the momenta are those provided by the usual D.D.F construction and show that the string compactified on the torus associated with the self-dual Lorentzian lattice, Π25,1 possess the Fake Monster Lie algebra as a symmetry.
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