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Holomorphic Couplings in String Theory

Jan Louis, Kristin Foerger

Abstract

In these lectures we review the properties of holomorphic couplings in the effective action of four-dimensional N=1 and N=2 closed string vacua. We briefly outline their role in establishing a duality among (classes of) different string vacua. (Lectures presented by J. Louis at the Trieste Spring School 1996.)

Holomorphic Couplings in String Theory

Abstract

In these lectures we review the properties of holomorphic couplings in the effective action of four-dimensional N=1 and N=2 closed string vacua. We briefly outline their role in establishing a duality among (classes of) different string vacua. (Lectures presented by J. Louis at the Trieste Spring School 1996.)

Paper Structure

This paper contains 27 sections, 119 equations, 7 figures, 9 tables.

Table of Contents

  1. Introduction
  2. Perturbative String Theory
  3. String Loop Expansion
  4. Conformal Field Theory
  5. Low Energy Effective Action
  6. String Vacua in $d=4$
  7. $N=1$ Heterotic Vacua in $d=4$
  8. $N=1$ Supergravity
  9. $N=1$ Heterotic String
  10. Perturbative Corrections
  11. Non-Perturbative Corrections
  12. Supersymmetric Gauge Couplings
  13. Preliminaries
  14. Field Theory Considerations
  15. Gauge Couplings in String Theory
  16. ...and 12 more sections

Figures (7)

  • Figure 1: Fundamental string interaction
  • Figure 2: Four-point amplitude
  • Figure 3: Riemann surfaces of genus $n$
  • Figure 4: The S-matrix approach.
  • Figure 5: Two-point genus one string amplitude with two gauge bosons.
  • ...and 2 more figures