Genus four superstring measures

DOI10.1007/s11005-008-0260-9zbMath1162.81032arXiv0804.0457OpenAlexW3102106138MaRDI QIDQ1013611

Francesco Dalla Piazza, Sergio Luigi Cacciatori, Bert van Geemen

Publication date: 20 April 2009

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.0457

zbMATH Keywords

modular formssuperstringsfour loop measures

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Theta functions and abelian varieties (14K25) Moduli, classification: analytic theory; relations with modular forms (14J15) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (13)

Modular forms of weight 8 for \(\Gamma_g(1, 2)\) ⋮ Classical theta constants vs. lattice theta series, and super string partition functions ⋮ Equidistribution rates, closed string amplitudes, and the Riemann hypothesis ⋮ 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 ⋮ More on superstring chiral measures ⋮ Singular spin structures and superstrings ⋮ NSR superstring measures in genus 5 ⋮ Eluding SUSY at every genus on stable closed string vacua ⋮ Modular forms and three-loop superstring amplitudes ⋮ Extending the Belavin-Knizhnik ``wonderful formula by the characterization of the Jacobian ⋮ Boundary contributions to three loop superstring amplitudes

Cites Work

• Siegel modular forms and finite symplectic groups
• Superstring scattering amplitudes in higher genus
• Asyzygies, modular forms, and the superstring measure. II
• Modular forms and three-loop superstring amplitudes
• Remarks on superstring amplitudes in higher genus
• On the image of code polynomials under theta map
• Two-loop superstrings. IV: The cosmological constant and modular forms
• On the Graded Ring of Theta-Constants
• Two-loop superstrings. I: Main formulas

This page was built for publication: Genus four superstring measures