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

TL;DR

This paper introduces a Mellin-Barnes integral representation for periods of multi-moduli Calabi-Yau manifolds, facilitating their analytic continuation and advancing mathematical tools in string theory compactifications.

Contribution

It provides a novel Mellin-Barnes integral framework for Calabi-Yau periods with multiple moduli, enabling new analytic continuation techniques.

Findings

Representation of periods via iterated Mellin-Barnes integrals

Method for analytic continuation using multidimensional residues

Application to superstring theory Calabi-Yau manifolds

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.