Topological Amplitudes and Physical Couplings in String Theory

Abstract

In these lectures, we review the main properties of the topological theory obtained by twisting the N=2 two-dimensional superconformal algebra, associated to supersymmetric string compactifications. In particular, we describe a set of physical quantities in string theory that are computed by topological amplitudes. These are in general higher-dimensional F-terms in the low energy effective supergravity, or fermion masses after supersymmetry breaking. We discuss N=2 compactifications of type II strings, N=1 compactifications of heterotic and type I strings, as well as N=4 string vacua. Particular emphasis is put on alternative string dual representations allowing calculability, and on the generalization of N=2 holomorphicity and its anomaly.

Proceedings for the Cargese Summer School 2006, Lectures by I. Antoniadis, 20 pages

References in corpus (15)

• Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
• Supersymmetric Unification Without Low Energy Supersymmetry And Signatures for Fine-Tuning at the LHC
• Open Strings
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• N=4 Topological Strings
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• Type IIB $R^4{H}^{4g-4}$ Conjectures
• All Loop N=2 String Amplitudes
• Open string topological amplitudes and gaugino masses
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• Note on Mediation of Supersymmetry Breaking from Closed to Open Strings

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• Lectures on Mirror Symmetry and Topological String Theory
• BPS Saturated String Amplitudes: K3 Elliptic Genus and Igusa Cusp Form
• A New Class of N=2 Topological Amplitudes
• Borcherds Algebras and N=4 Topological Amplitudes
• Topological Strings on Elliptic Fibrations
• Enhanced Gauge Groups in N=4 Topological Amplitudes and Lorentzian Borcherds Algebras
• Generalized N=2 Topological Amplitudes and Holomorphic Anomaly Equation
• Scattering of charged tensor bosons in gauge and superstring theories
• N=4 Topological Amplitudes and Black Hole Entropy
• Topological String on Toric CY3s in Large Complex Structure Limit