Higher order loop equations for A_r and D_r quiver matrix models
High Energy Physics - Theory
2009-11-10 v2
Abstract
We use free boson techniques to investigate A-D-E-quiver matrix models. Certain higher spin fields in the free boson formulation give rise to higher order loop equations valid at finite N. These fields form a special kind of W-algebra, called Casimir algebra. We compute explicitly the loop equations for A_r and D_r quiver models and check that at large N they are related to a deformation of the corresponding singular Calabi-Yau geometry.
Cite
@article{arxiv.hep-th/0311258,
title = {Higher order loop equations for A_r and D_r quiver matrix models},
author = {Stefano Chiantese and Albrecht Klemm and Ingo Runkel},
journal= {arXiv preprint arXiv:hep-th/0311258},
year = {2009}
}
Comments
31 pages, 3 figures; v2: added introduction to section 2, version published in JHEP