ICMP lecture on Heterotic/F-theory duality
arXiv:hep-th/9802093
Abstract
The heterotic string compactified on an (n-1)-dimensional elliptically fibered Calabi-Yau Z-->B is conjectured to be dual to F-theory compactified on an n-dimensional Calabi-Yau X-->B, fibered over the same base with elliptic K3 fibers. In particular, the moduli of the two theories should be isomorphic. The cases most relevant to the physics are n=2, 3, 4, i.e. the compactification is to dimensions d=8, 6 or 4 respectively. Mathematically, the richest picture seems to emerge for n=3, where the moduli space involves an analytically integrable system whose fibers admit rather different descriptions in the two theories. The purpose of this talk is to review some of what is known and what is not yet known about this conjectural isomorphism. Some of the underlying mathematics of principal bundles on elliptic fibrations is reviewed in the accompanying Taniguchi talk (hep-th/9802094).
arXiv comment9 pages, Latex
References in corpus (8)
- Compactifications of F-Theory on Calabi--Yau Threefolds -- II
- Geometric Singularities and Enhanced Gauge Symmetries
- M-Theory on Eight-Manifolds
- On Flux Quantization In M-Theory And The Effective Action
- Vector Bundles And F Theory
- The SO(32) Heterotic String on a K3 Surface
- Cubics, Integrable Systems, and Calabi-Yau Threefolds
- Principal G-bundles over elliptic curves
Cited by in corpus (7)
- Arithmetic and Attractors
- Model Building with F-Theory
- On Vector Bundles and Chiral Matter in N=1 Heterotic Compactifications
- Origin of Abelian Gauge Symmetries in Heterotic/F-theory Duality
- Chow groups, Deligne cohomology and massless matter in F-theory
- Stable sheaves on elliptic fibrations
- The gerbe of Higgs bundles