A unified approach to string scattering amplitudes

DOI10.1007/BF02097684zbMath0704.32007OpenAlexW2079873415WikidataQ124989215 ScholiaQ124989215MaRDI QIDQ916840

Alexander A. Voronov

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf02097684

zbMATH Keywords

bosonic string theoryQuillen metricsalgebraic curves of genus g with n given pointsArakelov measuresBelavin-Knizhnik theoremdivisors with complex coefficientsmoduli space of complexPolyakov volume formtachyon scattering amplitudesWeil-Deligne pairings

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) 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) Applications of holomorphic fiber spaces to the sciences (32L81) Holomorphic bundles and generalizations (32L05) Deformations of complex structures (32G05)

Related Items (1)

Wilson loops on Riemann surfaces, Liouville theory and covariantization of the conformal group

Cites Work

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• Calculus on arithmetic surfaces
• Algebraic geometry and the geometry of quantum strings
• The Mumford form and the Polyakov measure in string theory
• Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants
• Determinant bundles and Virasoro algebras
• Geometry of superconformal manifolds
• Théoreme de Lefschetz et critères de dégénérescence de suites spectrales
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura

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