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arXiv · hep-th/0311258

Higher order loop equations for A_r and D_r quiver matrix models

Stefano Chiantese·Albrecht Klemm·Ingo Runkel
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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.

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Stefano Chiantese, Albrecht Klemm, Ingo Runkel. 2004-03-31. Higher order loop equations for A_r and D_r quiver matrix models. https://doi.org/10.1088/1126-6708%2F2004%2F03%2F033

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