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Effective Lagrangians for Superstring Compactifications

  • Chapter
The Superworld III

Part of the book series: The Subnuclear Series ((SUS,volume 26))

Abstract

In this lecture I will discuss some macroscopic (target space-time) properties versus microscopic (world-sheet) properties of four-dimensional superstrings.

The possible occurrence of an enhanced space-time supersymmetry (N = 2 or N=4) in certain internal conformal field theories (when used to “compactify” type II supertrings) allows us to obtain strong constraints on the effective (supergravity) Lagrangians. In particular the Kähler metric for the moduli of Calabi-Yau spaces (which correspond to deformation of the Kähler class) can be determined by symmetry and topological considerations, at least to each finite order in the α′ expansion.

The Kähler metric for the moduli which corresponds to deformation of the complex structure is also shown to be compatible with N=2 space-time supersymmetry.

These results imply that the full low-energy superstring Lagrangian for the massless modes can be computed from pure topological data on Calabi-Yau spaces.

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Authors and Affiliations

  1. CERN, Geneva, Switzerland

    S. Ferrara

  2. University of California, Los Angeles, USA

    S. Ferrara

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  1. S. Ferrara
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  1. European Physical Society, Geneva, Switzerland

    Antonino Zichichi

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© 1990 Plenum Press, New York

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Ferrara, S. (1990). Effective Lagrangians for Superstring Compactifications. In: Zichichi, A. (eds) The Superworld III. The Subnuclear Series, vol 26. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8869-2_4

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