One-point functions of non-SUSY operators at arbitrary genus in a matrix model for type IIA superstrings

Understand

In the previous paper, the authors pointed out correspondence between a supersymmetric double-well matrix model and two-dimensional type IIA superstring theory on a Ramond-Ramond background from the viewpoint of symmetry and spectrum.

• This was confirmed by agreement between planar correlation functions in the matrix model and tree-level amplitudes in the superstring theory.
• In order to investigate the correspondence further, in this paper we compute correlation functions to all order of genus expansion in the double scaling limit of the matrix model.
• One-point functions of operators protected by supersymmetry terminate at some finite order, whereas those of unprotected operators yield non-Borel summable series.