Resurgence of one-point functions in a matrix model for 2D type IIA superstrings

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Title
Resurgence of one-point functions in a matrix model for 2D type IIA superstrings
Author(s)
Tsunehide Kurokia; Fumihiko Sugino
Publication Date
2019-05
Journal
JOURNAL OF HIGH ENERGY PHYSICS, v.2019, no.5, pp.138 -
Publisher
SPRINGER
Abstract
In the previous papers, the authors pointed out correspondence between a supersymmetric double-well matrix model and two-dimensional type IIA superstring theory on a Ramond-Ramond background. This was confirmed by agreement between planar correlation functions in the matrix model and tree-level amplitudes in the superstring theory. Furthermore, in the matrix model we computed one-point functions of single-trace operators to all orders of genus expansion in its double scaling limit, and found that the large-order behavior of this expansion is stringy and not Borel summable. In this paper, we discuss resurgence structure of these one-point functions and see cancellations of ambiguities in their trans-series. More precisely, we compute both series of ambiguities arising in a zero-instanton sector and in a one-instanton sector, and confirm how they cancel each other. In case that the original integration contour is a finite interval not passing through a saddle point, we have to choose an appropriate integration path in order for resurgence to work. c The Authors.
URI
https://pr.ibs.re.kr/handle/8788114/5982
ISSN
1029-8479
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > Journal Papers (저널논문)
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