2016/09/30 by Tsunehide Kuroki, Fumihiko Sugino · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Instanton #Mathematical physics #Mathematics #Matrix (chemical analysis) #Particle physics theoretical and experimental studies #Physics #String (physics) #String theory #Superstring theory #Supersymmetry #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2017.03.018
37 pages, 2 figures, v2: figures improved, v3: typos corrected, published version in Nuclear Physics B
openalex publication_date 2017/03/27 · arxiv created 2017/04/01 · arxiv updated 2017/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.