Theoretical and Mathematical Physics

, Volume 109, Issue 3, pp 1544–1555 | Cite as

Multiple Mellin-Barnes integrals as periods of Calabi-Yau manifolds with several moduli

  • M. Passare
  • A. K. Tsikh
  • A. A. Cheshel


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 multi-dimensional residues, we present a method for analytic continuation of the fundamental period in the form of a Horn series.


Manifold Analytic Continuation Fundamental Period Horn Series 
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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • M. Passare
    • 1
  • A. K. Tsikh
    • 2
  • A. A. Cheshel
    • 2
  1. 1.Mathematical InstituteUniversity of StockholmSweden
  2. 2.Krasnoyarsk State UniversityUSSR

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