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D=6, N=1 String Vacua and Duality

L. E. Ibanez, A. M. Uranga

Abstract

We review the structure $D=6, N=1$ string vacua with emphasis on the different connections due to T-dualities and S-dualities. The topics discussed include: Anomaly cancellation; K3 and orbifold $D=6, N=1$ heterotic compactifications; T-dualities between $E_8\times E_8$ and $Spin(32)/Z_2$ heterotic vacua; non-perturbative heterotic vacua and small instantons; N=2 Type-II/Heterotic duality in D=4 ; F-theory/heterotic duality in D=6; and heterotic/heterotic duality in six and four dimensions.

D=6, N=1 String Vacua and Duality

Abstract

We review the structure string vacua with emphasis on the different connections due to T-dualities and S-dualities. The topics discussed include: Anomaly cancellation; K3 and orbifold heterotic compactifications; T-dualities between and heterotic vacua; non-perturbative heterotic vacua and small instantons; N=2 Type-II/Heterotic duality in D=4 ; F-theory/heterotic duality in D=6; and heterotic/heterotic duality in six and four dimensions.

Paper Structure

This paper contains 18 sections, 56 equations, 5 tables.

Table of Contents

  1. Introduction
  2. $D=6$, $N=1$ Heterotic Vacua
  3. Gauge and Gravitational Anomalies
  4. Perturbative Heterotic Vacua
  5. Non-Perturbative Heterotic Vacua and Small Instantons
  6. Type-IIA $D=6,4$ Vacua and Type-II/Heterotic Duality
  7. $D=4$, $N=2$ Type-II/Heterotic vacua
  8. $D=4$, $N=2$ Type-II/Heterotic duality
  9. F-Theory-Heterotic Duality
  10. Introduction to F-theory
  11. F-Theory/Heterotic duality
  12. The A,B,C,D chains
  13. Exotic transitions and tensionless strings
  14. Heterotic/Heterotic Duality
  15. Self-Dual $D=6$, $N=1$ Heterotic Vacua
  16. ...and 3 more sections