\(N=2\) type II-heterotic duality and higher-derivative \(F\)-terms

DOI10.1016/0550-3213(95)00467-7zbMath0925.81158arXivhep-th/9507115OpenAlexW3105871798MaRDI QIDQ1901226

Edi Gava, Tomasz R. Taylor, Kumar S. Narain, Ignatios Antoniadis

Publication date: 7 November 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9507115

zbMATH Keywords

effective field theoryone loop levelholomorphic anomaly equationsheterotic string modelsgravitational superfieldenhanced symmetry pointlow energy Lagrangians

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) Anomalies in quantum field theory (81T50)

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Cites Work

• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
• Evaluation of the one loop string path integral
• Mirror symmetry for two-parameter models. I
• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
• Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
• Monopoles, duality and chiral symmetry breaking in \(N=2\) supersymmetric QCD
• Topological \(2\)D string theory: higher-genus amplitudes and \(W_\infty\) identities
• \(N=2\) type II-heterotic duality and higher-derivative \(F\)-terms
• Topological amplitudes in string theory
• On Gauge Invariance and Vacuum Polarization