11 April 2016 to 15 July 2016
Institut Henri Poincaré
Europe/Paris timezone

Vanhove

Pierre Vanhove, CEA Saclay

Title: Single Valued Elliptic Multizetas and String theory

Abstract: Modular invariance is ubiquitous in string theory.   This is the symmetry of genus-one amplitudes, as well as the non-perturbative duality symmetry of type IIb superstring in ten dimensions.  The alpha’ expansion of string theory amplitudes leads to interesting new modular forms.   
In this talk we will describe the properties of these new modular forms. 
We will show that the modular forms entering the alpha’ expansion of genus one type-II superstring amplitude are naturally expressed as particular values of single valued elliptic multiple polylogarithm.  They are natural modular generalization of the single valued elliptic multiple-zeta introduced by Francis Brown.

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