SUSY breaking by nonperturbative dynamics in a matrix model for 2D type IIA superstrings

Abstract

We explicitly compute nonperturbative effects in a supersymmetric double-well matrix model corresponding to two-dimensional type IIA superstring theory on a nontrivial Ramond-Ramond background. We analytically determine the full one-instanton contribution to the free energy and one-point function, including all perturbative fluctuations around the one-instanton background. The leading order two-instanton contribution is determined as well. We see that supersymmetry is spontaneously broken by instantons, and that the breaking persists after taking a double scaling limit which realizes the type IIA theory from the matrix model. The result implies that spontaneous supersymmetry breaking occurs by nonperturbative dynamics in the target space of the IIA theory. Furthermore, we numerically determine the full nonperturbative effects by recursive evaluation of orthogonal polynomials. The free energy of the matrix model appears well-defined and finite even in the strongly coupled limit of the corresponding type IIA theory. The result might suggest a weakly coupled theory appearing as an S-dual to the two-dimensional type IIA superstring theory.

40 pages, 5 figures; v2: comment added; v3: comments and references added, version to be published in Nuclear Physics B; v4: comment and references added

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• Resurgence in QFT: Unitons, Fractons and Renormalons in the Principal Chiral Model
• Nonperturbative effects and nonperturbative definitions in matrix models and topological strings
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Cited by in corpus (7)

• Uniform WKB, Multi-instantons, and Resurgent Trans-Series
• Existence of new nonlocal field theory on noncommutative space and spiral flow in renormalization group analysis of matrix models
• Tracy-Widom distribution as instanton sum of 2D IIA superstrings
• Supersymmetry Breaking in a Large N Gauge Theory with Gravity Dual
• 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