Supersymmetric double-well matrix model as two-dimensional type IIA superstring on RR background

Abstract

In the previous paper, the authors pointed out correspondence of a supersymmetric double-well matrix model with two-dimensional type IIA superstring theory on a nontrivial Ramond-Ramond background from the viewpoint of symmetries and spectrum. In this paper we further investigate the correspondence from dynamical aspects by comparing scattering amplitudes in the matrix model and those in the type IIA theory. In the latter, cocycle factors are introduced to vertex operators in order to reproduce correct transformation laws and target-space statistics. By a perturbative treatment of the Ramond-Ramond background as insertions of the corresponding vertex operators, various IIA amplitudes are explicitly computed including quantitatively precise numerical factors. We show that several kinds of amplitudes in both sides indeed have exactly the same dependence on parameters of the theory. Moreover, we have a number of relations among coefficients which connect quantities in the type IIA theory and those in the matrix model. Consistency of the relations convinces us of the validity of the correspondence.

52 pages, version to appear in JHEP

References in corpus (2)

• Topological Matrix Models, Liouville Matrix Model and c=1 String Theory
• Non-Critical Covariant Superstrings

Cited by in corpus (6)

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• SUSY breaking by nonperturbative dynamics in a matrix model for 2D type IIA superstrings
• Tracy-Widom distribution as instanton sum of 2D IIA superstrings
• One-point functions of non-SUSY operators at arbitrary genus in a matrix model for type IIA superstrings
• Resurgence of one-point functions in a matrix model for 2D type IIA superstrings
• Two-point functions at arbitrary genus and its resurgence structure in a matrix model for 2D type IIA superstrings