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

Abstract

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. The behavior of the latter is characteristic in string perturbation series, providing further evidence that the matrix model describes a string theory. Moreover, instanton corrections to the planar one-point functions are also computed, and universal logarithmic scaling behavior is found for non-supersymmetric operators.

37 pages, 2 figures, v2: figures improved, v3: typos corrected, published version in Nuclear Physics B

References in corpus (5)

• A Perturbative Window into Non-Perturbative Physics
• Boundary condition for D-brane from Wilson loop, and gravitational interpretation of eigenvalue in matrix model in AdS/CFT correspondence
• SUSY breaking by nonperturbative dynamics in a matrix model for 2D type IIA superstrings
• Tracy-Widom distribution as instanton sum of 2D IIA superstrings
• Supersymmetric double-well matrix model as two-dimensional type IIA superstring on RR background

Cited by in corpus (6)

• Bion non-perturbative contributions versus infrared renormalons in two-dimensional $\mathbb{C}{P}^{N-1}$ models
• On exact-WKB analysis, resurgent structure, and quantization conditions
• Resurgence Structure to All Orders of Multi-bions in Deformed SUSY Quantum Mechanics
• Phase structure of the twisted $SU(3)/U(1{)}^2$ flag sigma model on $\mathbb{R}\times S^1$
• 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