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.

18 pages, AMS-tex + 3 postscript figures, to be published in Theor. Math. Phys. Russia

References in corpus (7)

• Mirror Symmetry for Two Parameter Models -- II
• Mirror Symmetry for Two Parameter Models -- I
• Mirror Symmetry for Calabi-Yau Hypersurfaces in Weighted P_4 and Extensions of Landau Ginzburg Theory
• Periods for Calabi--Yau and Landau--Ginzburg Vacua
• Mirror Symmetry for Hypersurfaces in Weighted Projective Space and Topological Couplings
• Applications of the Mellin-Barnes integral representation
• On Periods for String Compactifications

Cited by in corpus (18)

• Exact Results In Two-Dimensional (2,2) Supersymmetric Gauge Theories With Boundary
• Muon Anomaly from Lepton Vacuum Polarization and The Mellin--Barnes Representation
• Multiple Series Representations of $N$-fold Mellin-Barnes Integrals
• Landscaping with fluxes and the E8 Yukawa Point in F-theory
• On convergent series representations of Mellin-Barnes integrals
• Counting the number of master integrals for sunrise-type Feynman diagrams via Mellin-Barnes representation
• The Double Box and Hexagon Conformal Feynman Integrals
• On mass corrections to the decays P \to l^+l^-
• The Mellin-Barnes Approach to Hadronic Vacuum Polarization and $g_{\mu }-2$
• Massive One-loop Conformal Feynman Integrals and Quadratic Transformations of Multiple Hypergeometric Series
• Series representation of the pricing formula for the European option driven by space-time fractional diffusion
• Option Pricing Models Driven by the Space-Time Fractional Diffusion: Series Representation and Applications
• Multiple Mellin-Barnes integrals with straight contours
• Gromov-Witten invariants and localization
• On expansions for the Black-Scholes prices and hedge parameters
• Non-Gaussian analytic option pricing: a closed formula for the Lévy-stable model
• Hadronic Light by Light Corrections to the Muon Anomalous Magnetic Moment
• Turing's Landscape: decidability, computability and complexity in string theory