## 328 Citations

### Vector Bundles and F Theory

- Mathematics
- 1997

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

- Mathematics
- 2003

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

- Mathematics
- 2003

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…

### Singularities and Gauge Theory Phases

- Physics
- 2014

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

- Mathematics
- 2008

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

- Physics
- 2014

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

- Mathematics
- 2016

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

SHOWING 1-9 OF 9 REFERENCES

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

- Mathematics
- 1992

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