Complex Matrix Model and Fermion Phase Space for Bubbling AdS Geometries

  title={Complex Matrix Model and Fermion Phase Space for Bubbling AdS Geometries},
  author={Yastoshi Takayama and Asato Tsuchiya},
  journal={arXiv: High Energy Physics - Theory},
We study a relation between droplet configurations in the bubbling AdS geometries and a complex matrix model that describes the dynamics of a class of chiral primary operators in dual N=4 super Yang Mills (SYM). We show rigorously that a singlet holomorphic sector of the complex matrix model is equivalent to a holomorphic part of two-dimensional free fermions, and establish an exact correspondence between the singlet holomorphic sector of the complex matrix model and one-dimensional free… Expand

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