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Title:
Rankin-Selberg methods for closed string amplitudes

Speaker:
Boris Pioline

Abstract:
After integrating over location of vertex operators and supermoduli, scattering amplitudes in closed string theories at genus $h\leq 3$ are expressed as an integral of a Siegel modular form on the fundamental domain of Siegel's upper half plane. I will describe techniques to compute such modular integrals explicitly, by representing the integrand as a Poincar\'e series and applying the unfolding trick. The focus will be mainly on genus one, but some results on higher genus will be presented. Based in part on work in collaboration with C. Angelantonj and I. Florakis.Related Papers:

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=825

Workshop:
Simons- Workshop 2012-2013ay - String-Math 2013