Higher genus superstring amplitudes from the geometry of moduli spaces

Abstract

We show that the higher genus 4-point superstring amplitude is strongly constrained by the geometry of moduli space of Riemann surfaces. A detailed analysis leads to a natural proposal which satisfies several conditions. The result is based on the recently derived Siegel induced metric on the moduli space of Riemann surfaces and on combinatorial products of determinants of holomorphic abelian differentials.

23 pp. A change in citing, to appear in Nucl. Phys. B

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Cited by in corpus (28)

• Duality and higher derivative terms in M theory
• Superstring scattering amplitudes in higher genus
• Poisson equation for the Mercedes diagram in string theory at genus one
• Two-Loop Superstrings VII, Cohomology of Chiral Amplitudes
• Superstring loop amplitudes from the field theory limit
• An R^4 non-renormalisation theorem in N=4 supergravity
• Getting superstring amplitudes by degenerating Riemann surfaces
• Superstring measure and non-renormalization of the three-point amplitude
• NSR Superstring Measures Revisited
• Simplifying one-loop amplitudes in superstring theory
• NSR measures on hyperelliptic locus and non-renormalization of 1,2,3-point functions
• Ramond-Ramond corrections to type II supergravity at order ${\alpha }^{\prime 3}$
• Sphere-level Ramond-Ramond couplings in Ramond-Neveu-Schwarz formalism
• Topics in Two-Loop Superstring Perturbation Theory
• Extending the Belavin-Knizhnik "wonderful formula" by the characterization of the Jacobian
• Energy Quantisation and Time Parameterisation
• S-duality invariant dilaton couplings at order ${\alpha }^{\prime 3}$
• S-duality constraint on higher-derivative couplings
• Linear relations among holomorphic quadratic differentials and induced Siegel's metric on M_g
• The superstring cosmological constant and the Schottky form in genus 5
• Modular Invariant Regularization of String Determinants and the Serre GAGA Principle
• The Singular Locus of the Theta Divisor and Quadrics through a Canonical Curve
• Finite Strings From Non-Chiral Mumford Forms
• Uniformization, Unipotent Flows and the Riemann Hypothesis
• Calculation and modular properties of multi-loop superstring amplitudes
• Singular Spin Structures and Superstrings
• Eluding SUSY at every genus on stable closed string vacua
• Symmetries of non-maximal supergravities with higher-derivative corrections