Multiple Mellin-Barnes Integrals as Periods of Calabi-Yau Manifolds With Several Moduli

Abstract

We give a representation, in terms of iterated Mellin-Barnes integrals, of periods on multi-moduli Calabi-Yau manifolds arising in superstring theory. Using this representation and the theory of multidimensional residues, we present a method for analytic continuation of the fundamental period in the form of Horn series.

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