The bosonic string measure at two and three loops and symplectic transformations of the volume form

DOI10.1007/BF00750072zbMath0933.32029arXivhep-th/9410226OpenAlexW2053007747MaRDI QIDQ1900483

Simon Davis

Publication date: 31 October 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9410226

zbMATH Keywords

bosonic string theorymodular invariancesymplectic modular invariance

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of deformations of analytic structures to the sciences (32G81) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Period matrices, variation of Hodge structure; degenerations (32G20) Families, moduli of curves (analytic) (14H15)

Related Items (1)

Linear relations among holomorphic quadratic differentials and induced Siegel's metric on $\mathcal {M}_g$Mg

Cites Work

• Algebraic geometry and the geometry of quantum strings
• Characterization of Jacobian varieties in terms of soliton equations
• Canonical measures on the moduli spaces of compact Riemann surfaces
• Finiteness and unitarity of Lorentz-covariant Green-Schwarz superstring amplitudes
• Theta functions and non-linear equations
• Divergences in the moduli space integral and accumulating handles in the infinite-genus limit

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