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26 April 2024
 
  » arxiv » hep-th/0311258

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Higher order loop equations for A_r and D_r quiver matrix models
Stefano Chiantese ; Albrecht Klemm ; Ingo Runkel ;
Date 26 Nov 2003
Journal JHEP 0403 (2004) 033
Subject hep-th
AbstractWe 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.
Source arXiv, hep-th/0311258
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