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Automorphic properties of string theory amplitudes in various dimensions

Wednesday 22nd February 2012 - 16:00 to 17:00
INI Seminar Room 1
Maximally supersymmetric string theory compactified on d-dimensional torus is invariant under the non-perturbative U-duality groups E_{d+1}(Z). We will present the construction of the automorphic functions relevant for the supersymmetric protected BPS interactions in the low-energy expansion of maximal supersymmetric effective action in various dimensions. We will show that the support of the non-vanishing Fourier coefficients for these automorphic form is given by the expected BPS conditions one can derive from the supersymmetric conditions.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons