## 3 Citations

Compactification, Geometry and Duality: N=2

- Mathematics
- 2000

These are notes based on lectures given at TASI99. We review the geometry of the moduli space of N=2 theories in four dimensions from the point of view of superstring compactification. The cases of a…

The Type I D instanton and its M theory origin

- Physics
- 2000

The tree-level amplitude for the scattering of two gauge particles constrained to move on the two distinct boundaries of eleven-dimensional space-time in the Horava-Witten formulation of M-theory is…

Centralizers of Commuting Elements in Compact Lie Groups

- Mathematics
- 2010

The moduli space for a flat G-bundle over the two-torus is completely determined by its holonomy representation. When G is compact, connected, and simply connected, we show that the moduli space is…

## References

SHOWING 1-10 OF 45 REFERENCES

The semispin groups in string theory

- Mathematics
- 1999

In string theory, an important role is played by certain Lie groups which are locally isomorphic to SO(4m), m⩽8. It has long been known that these groups are actually isomorphic not to SO(4m) but…

Disconnected forms of the standard group

- Mathematics
- 1997

Recent work in quantum gravity has led to a revival of interest in the concept of disconnected gauge groups. Here we explain how to classify all of the (nontrivial) groups which have the same Lie…

Timelike Hopf duality and type IIA* string solutions

- Mathematics
- 2000

The usual T-duality that relates the type IIA and IIB theories compactified on circles of inversely related radii does not operate if the dimensional reduction is performed on the time direction…

T-duality can fail

- Mathematics, Physics
- 1999

We show that T-duality can be broken by non-perturbative effects in string coupling. The T-duality in question is that of the 2-torus when the heterotic string is compactified on K3 × T2. This case…

K3 Surfaces and String Duality

- Mathematics, Physics
- 1996

The primary purpose of these lecture notes is to explore the moduli space of type IIA, type IIB, and heterotic string compactified on a K3 surface. The main tool which is invoked is that of string…

Metric symmetries and spin asymmetries of Ricci-flat Riemannian manifolds

- Mathematics
- 1999

The Calabi–Yau and Joyce manifolds used in string and M-theory compactifications have no continuous groups of isometries, but they often have nontrivial discrete (actually finite) isometry groups.…

Group Structure of Gauge Theories

- Mathematics
- 1986

Preface Part I. Group Structure: 1. Global properties of groups and Lie groups 2. Local properties of Lie groups 3. Lie algebras 4. Hermitian irreducible representations of compact simple Lie…