Higher order loop equations for A_r and D_r quiver matrix models

Details Higher order loop equations for A_r and D_r quiver matrix models Higher order loop equations for A_r and D_r quiver matrix models

2003-11-26

arxiv.org/abs/hep-th/0311258v2

JHEP 0403 (2004) 033

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 3 figures; v2: added introduction to section 2, version published in JHEP

Scientific paper

10.1088/1126-6708/2004/03/033

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.

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