Two-loop superstrings VII. Cohomology of chiral amplitudes

DOI10.1016/j.nuclphysb.2008.04.030zbMath1190.81101arXiv0711.4314OpenAlexW2008974207MaRDI QIDQ980860

Eric D'Hoker, Duong H. Phong

Publication date: 8 July 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4314

zbMATH Keywords

de Rham cohomologymoduli space of Riemann surfacesDolbeault cohomology: \(N\)-point functionhybrid cohomology classes

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Axiomatic quantum field theory; operator algebras (81T05) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30)

Related Items (17)

Mass renormalization in string theory: general states ⋮ Scattering amplitudes in open superstring theory ⋮ Tropical amplitudes ⋮ Gauge invariant 1PI effective action for superstring field theory ⋮ Gauge invariant 1PI effective superstring field theory: inclusion of the Ramond sector ⋮ Supersymmetry restoration in superstring perturbation theory ⋮ One-dimensional super Calabi-Yau manifolds and their mirrors ⋮ Two loop mass renormalisation in heterotic string theory: NS states ⋮ Getting superstring amplitudes by degenerating Riemann surfaces ⋮ Cyclic products of Szegö kernels and spin structure sums. I: Hyper-elliptic formulation ⋮ NSR superstring measures in genus 5 ⋮ Supermoduli and PCOs at genus two ⋮ Two-loop superstring five-point amplitudes. I: Construction via chiral splitting and pure spinors ⋮ On the super Mumford form in the presence of Ramond and Neveu-Schwarz punctures ⋮ Superstring measure and non-renormalization of the three-point amplitude ⋮ Extending the Belavin-Knizhnik ``wonderful formula by the characterization of the Jacobian ⋮ Two-loop superstring five-point amplitudes. III: Construction via the RNS formulation: even spin structures

Cites Work

• Two-loop superstrings. VI: Nonrenormalization theorems and the 4-point function.
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• Conformal scalar fields and chiral splitting on super Riemann surfaces
• Two loop superstring amplitudes and \(S_6\) representations
• The geometry of super Riemann surfaces
• Two-loop superstrings in hyperelliptic language. II: The cosmological constant and the non-renormalization theorem
• Type IIB \(R^4H^{4g-4}\) conjectures
• Explicit modular invariant two-loop superstring amplitude relevant for \(R^4\)
• Two-loop superstrings. II: The chiral measure on moduli space
• Two-loop superstrings. III: Slice independence and absence of ambiguities
• Two-loop superstrings. IV: The cosmological constant and modular forms
• Recent progress in perturbative quantum field theory
• Dispersion relations in string theory
• On-shell methods in perturbative QCD
• Higher genus superstring amplitudes and the measure on the moduli space
• Eisenstein series in string theory
• Two-loop superstrings. I: Main formulas

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