Matter from geometry

@article{Katz1996MatterFG,
  title={Matter from geometry},
  author={Sheldon Katz and Cumrun Vafa},
  journal={Nuclear Physics},
  year={1996},
  volume={497},
  pages={146-154}
}
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328 Citations
Highly Influential Citations
36
Background Citations
178
Methods Citations
78
Results Citations
5

328 Citations

Vector Bundles and F Theory

Abstract:To understand in detail duality between heterotic string and F theory compactifications, it is important to understand the construction of holomorphic G bundles over elliptic Calabi-Yau…

On N = 1 gauge models from geometric engineering in M-theory

We study geometric engineering of four-dimensional N = 1 gauge models from M-theory on a seven-dimensional manifold with G2 holonomy. The manifold is constructed as a K3 fibration over a…

On N = 1 gauge models from geometric engineering in M-theory

We study geometric engineering of four-dimensional N = 1 gauge models from M-theory on a seven-dimensional manifold with G2 holonomy. The manifold is constructed as a K3 fibration over a…

Geometric engineering of N = 1 quantum field theories

A comment on BPS states in F-theory in 8 dimensions

A note on Kahler potential of charged matter in F-theory

Singularities and Gauge Theory Phases

We present a simple algebraic construction for all the small resolutions of the $SU(5)$ Weierstrass model. Each resolution corresponds to a subchamber on the Coulomb branch of the five-dimensional…

Geometrically Engineerable Chiral Matter in M-Theory

We present a classification of the massless chiral matter representations that can arise locally in M-theory on G(2) through geometrically engineered singularities. We will find that several of the…

Singularities and Gauge Theory Phases II

We present a simple algebraic construction for all the small resolutions of the SU(5) Weierstrass model. Each resolution corresponds to a subchamber on the Coulomb branch of the five-dimensional N =…

F-theory and N = 1 Quivers from Polyvalent Geometry

We study four-dimensional quiver gauge models from F-theory compactified on fourfolds with hyper-Kähler structure. Using intersecting complex toric surfaces, we derive a class of N = 1 quivers with…
...

References

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Geometric singularities and enhanced gauge symmetries

Evidence for F theory

New Higgs transitions between dual N=2 string models

Enhanced gauge symmetry in type II string theory

The SO(32) heterotic string on a K3 surface

D strings on D manifolds

Compactifications of F-theory on Calabi-Yau threefolds. (I)

Gorenstein Threefold Singularities with Small Resolutions via Invariant Theory for Weyl Groups

We classify simple flops on smooth threefolds, or equivalently, Gorenstein threefold singularities with irreducible small resolution. There are only six families of such singularities, distinguished…

Jour. Alg. Geom

  • Jour. Alg. Geom
  • 1992