Remarks on superstring amplitudes in higher genus

DOI10.1016/j.nuclphysb.2008.05.009zbMath1189.81182arXiv0804.0512OpenAlexW2120976314MaRDI QIDQ977375

Riccardo Salvati Manni

Publication date: 22 June 2010

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

Full work available at URL: https://arxiv.org/abs/0804.0512

zbMATH Keywords

modular formschiral superstring measureholomorphic roots

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Miscellaneous applications of number theory (11Z05) Families, moduli of curves (analytic) (14H15)

Related Items (14)

Modular forms of weight 8 for \(\Gamma_g(1, 2)\) ⋮ Theta characteristics and their moduli ⋮ Classical theta constants vs. lattice theta series, and super string partition functions ⋮ One-dimensional super Calabi-Yau manifolds and their mirrors ⋮ Binary forms and the hyperelliptic superstring ansatz ⋮ The vanishing of two-point functions for three-loop superstring scattering amplitudes ⋮ Getting superstring amplitudes by degenerating Riemann surfaces ⋮ More on superstring chiral measures ⋮ Singular spin structures and superstrings ⋮ NSR superstring measures in genus 5 ⋮ Modular forms and three-loop superstring amplitudes ⋮ Superstring measure and non-renormalization of the three-point amplitude ⋮ Extending the Belavin-Knizhnik ``wonderful formula by the characterization of the Jacobian ⋮ Genus four superstring measures

Cites Work

• Superstring scattering amplitudes in higher genus
• Asyzygies, modular forms, and the superstring measure. I.
• Asyzygies, modular forms, and the superstring measure. II
• Modular forms and three-loop superstring amplitudes
• Thetanullwerte on a moduli space of curves and hyperelliptic loci
• 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
• Harmonic analysis and theta-functions
• On the dimension of the vector space C[θ_m4]
• On Jacobi's Derivative Formula and its Generalizations
• Thetanullwerte and Stable Modular Forms
• On the Graded Ring of Theta-Constants
• Two-loop superstrings. I: Main formulas
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