String amplitudes in genus one: from open to closed strings.
Federico Zerbini
Mon, Mar. 19th 2018, 11:00-12:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers

The Feynman diagram expansion of scattering amplitudes in perturbative superstring theory can be written as a series of integrals over compactified moduli spaces of Riemann surfaces with marked points, indexed by the genus. In genus zero one finds that open and closed string amplitudes can be described in terms of special values of multi-valued and single-valued polylogarithms, respectively, and are related by a map called single-valued projection. In this talk I want to report on recent evidence that an analogous statement can be made in genus one in terms of elliptic polylogarithms.

Contact : Vincent PASQUIER


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