D-branes, exceptional sheaves and quivers on Calabi-Yau manifolds: from Mukai to McKay

DOI10.1016/S0550-3213(01)00062-1zbMATH Open0986.83039arXivhep-th/0010196MaRDI QIDQ5935157

Author name not available (Why is that?)

Publication date: 20 June 2001

Published in: (Search for Journal in Brave)

Abstract: We present a method based on mutations of helices which leads to the construction (in the large volume limit) of exceptional coherent sheaves associated with the

(s u m_{a} l_{a} = 0)

orbits in Gepner models. This is explicitly verified for a few examples including some cases where the ambient weighted projective space has singularities not inherited by the Calabi-Yau hypersurface. The method is based on two conjectures which lead to the analog,in the general case, of the Beilinson quiver for

B P^{n}

. We discuss how one recovers the McKay quiver using the gauged linear sigma model (GLSM) near the orbifold or Gepner point in K"ahler moduli space.

Full work available at URL: https://arxiv.org/abs/hep-th/0010196

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