Sheldon KATZ
(University of Illinois)
ADE geometry and dualities
In these lectures, I will explain the geometry of ADE surface
singularities, their resolutions, and their deformations, interpret
this geometry in gauge theory via quiver representations, and apply
these
results to N=1 dualities.
- Lecture 1. Geometry of ADE singularities
- Lecture 2. ADE Quiver representations and branes
- Lecture 3. Geometric transitions and dualities
Further references:
-
Sheldon Katz, David R. Morrison,
``Gorenstein Threefold Singularities with Small Resolutions via Invariant
Theory for Weyl Groups'',
J. Alg.
Geom. 1 (1992) 449-530,
arXiv:alg-geom/9202002.
-
F. Cachazo, S. Katz, C. Vafa,
``Geometric Transitions and N=1 Quiver Theories'',
arXiv:hep-th/0108120.
-
F. Cachazo, B. Fiol, K. Intriligator, S. Katz, C. Vafa,
``A Geometric Unification of Dualities'',
Nucl.Phys. B628 (2002) 3-78,
arXiv:hep-th/0108028.