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Polylogarithms, Multiple Zeta Values and Superstring Amplitudes

Date: 
Thursday 11th April 2013 - 15:00 to 16:00
Venue: 
INI Seminar Room 1
Abstract: 
Superstring Theory is one of the most promising candidates for a quantum theory of gravity. Its interactions involve all kinds of multiple zeta values, and I will present how they emerge at the leading order (so-called tree level) of open string scattering amplitudes. The expansion of the underlying generalized Gaussian hypergeometric functions in the string tension gives rise to iterated integrals within the [0,1] interval. I will discuss polylogarithm manipulations required for their systematic reduction to multiple zeta values.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons