S and U-duality Constraints on IIB S-matrices

Abstract

S and U-duality dictate that graviton scattering amplitudes in IIB superstring theory be automorphic functions on the appropriate fundamental domain which describe the inequivalent vacua of (compactified) theories. A constrained functional form of graviton scattering is proposed using Eisenstein series and their generalizations compatible with: a) two-loop supergravity, b) genus one superstring theory, c) the perturbative coupling dependence of the superstring, and d) with the unitarity structure of the massless modes. The form has a perturbative truncation in the genus expansion at a given order in the derivative expansion. Comparisons between graviton scattering S-matrices and effective actions for the first quantized superstring are made at the quantum level. Possible extended finiteness properties of maximally extended quantum supergravity theories in different dimensions is implied by the perturbative truncation of the functional form of graviton scattering in IIB superstring theory.

36 pages, 5 figures, LaTeX, (minor) eq. corr., to appear in NPB

References in corpus (2)

• Explicit Modular Invariant Two-Loop Superstring Amplitude Relevant for R^4
• Quantization and Scattering in the IIB SL(2,Z) Covariant Superstring

Cited by in corpus (18)

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• The ${\hat{G}}^4{\lambda }^{16}$ Term in IIB Supergravity
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• M-theory and automorphic scattering
• Integrability in String Theories
• Cosmological constant in broken maximal sugras
• Quantum Gauge Theory Amplitude Solutions
• Tree Amplitudes in Scalar Field Theories
• Effects of D-instantons in string amplitudes
• Quantum Solution to Scalar Field Theory Models
• Tree Amplitudes in Gauge and Gravity Theories
• N=4 S-duality Compliant Scattering and within the AdS/CFT Duality
• N=4 Supersymmetric Gauge Theory in the Derivative Expansion
• Symmetry Algebra of IIB Superstring Scattering
• A Format for Instantons and Their Characterizations
• Computing K3 and CY n-fold Metrics
• Simplifications of the Tensors in Quantum Scattering, Part I