A method constructs closed string trajectories from open string seeds dressed by symplectic algebra generators via Howe duality, with physical states identified by solving Diophantine recursion relations.
Hidden Superconformal Symmetry in M Theory
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abstract
The bosonic sectors of the eleven dimensional and IIA supergravity theories are derived as non-linear realisations. The underlying group includes the conformal group, the general linear group and as well as automorphisms of the supersymmetry algebra. We discuss the supersymmetric extension and argue that Osp(1/64) is a symmetry of M theory. We also derive the effective action of the closed bosonic string as a non-linear realisation.
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Closed string trajectories from a new "tiling"
A method constructs closed string trajectories from open string seeds dressed by symplectic algebra generators via Howe duality, with physical states identified by solving Diophantine recursion relations.