Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-02-04
Physics
High Energy Physics
High Energy Physics - Theory
Based on talks delivered at Utrecht, Bures sur Yvette, Tel-Aviv and Dubna to appear in Proceedings: ``Supersymmetries and Quan
Scientific paper
Hidden symmetries are the backbone of Integrable two-dimensional theories. They provide classical solutions of higher dimensional models as well, they seem to survive partially quantisation and their discrete remnants in M-theory called U-dualities, would provide a way to control infinities and nonperturbative effects in Supergravities and String theories. Starting from Einstein gravity we discuss the building blocks of these large groups of internal symmetries, and embed them in superalgebras of dynamical symmetries. The classical field equations for all bosonic matter fields of all toroidally compactified supergravities are invariant under such ``superdualities''. Possible extensions are briefly discussed.
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