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Automorphic properties of string theory amplitudes in various dimensions

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Mathematics and Applications of Branes in String and M-theory

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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