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N = 1 Heterotic/F‐Theory Duality
Author(s) -
Andreas Björn
Publication year - 1999
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/(sici)1521-3978(199906)47:6<587::aid-prop587>3.0.co;2-5
Subject(s) - heterotic string theory , duality (order theory) , vector bundle , moduli , anomaly (physics) , mathematics , m theory , moduli space , theoretical physics , pure mathematics , manifold (fluid mechanics) , fiber bundle , string (physics) , bundle , physics , mathematical physics , supersymmetry , quantum mechanics , supergravity , engineering , mechanical engineering , materials science , composite material
We review aspects of N = 1 duality between the heterotic string and F‐theory. After a description of string duality intended for the non‐specialist the framework and the constraints for heterotic/F‐theory compactifications are presented. The computations of the necessary Calabi‐Yau manifold and vector bundle data, involving characteristic classes and bundle moduli, are given in detail. The matching of the spectrum of chiral multiplets and of the number of heterotic five‐branes respectively F‐theory three‐branes, needed for anomaly cancellation in four‐dimensional vacua, is pointed out. Several examples of four‐dimensional dual pairs are constructed where on both sides the geometry of the involved manifolds relies on del Pezzo surfaces.