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Automorphic forms and lattice sums in exceptional field theory Kleinschmidt, Axel

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Automorphic forms appear in string theory considerations for example in scattering amplitudes. The simplest cases where their form is understood is related to processes that are (partially) controlled by an additional symmetry, called supersymmetry. Using the modern language of exceptional field theory to determine parts of these scattering amplitudes gives alternative expressions for Eisenstein series on exceptional groups (attached to small representations). This approach also gives some insight of non-Eisenstein series that are expected to arise in string theory.

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