Higher order loop equations for Ar and Dr quiver matrix models

Chiantese, Stefano; Klemm, Albrecht; Runkel, Ingo

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Higher order loop equations for Ar and Dr quiver matrix models

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Chiantese, Stefano
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Chiantese, S., Klemm, A., & Runkel, I. (2004). Higher order loop equations for Ar and Dr quiver matrix models. Journal of High Energy Physics, 2004(3): 033.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-51D1-0

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.