Towards the super Virasoro minimal string

• Published in: The journal of high energy physics Vol. 2025; no. 9; p. 61
• Main Authors: Rangamani, Mukund, Zheng, Jianming
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 05.09.2025; Springer Nature B.V
• Subjects: Amplitudes; Classical and Quantum Gravitation; Deformation; Elementary Particles; Field theory; Physics; Physics and Astronomy; Predictions; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Supergravity; String Duality; Conformal and W Symmetry; Conformal Field Models in String Theory
• ISSN: 1029-8479
• DOI: 10.1007/JHEP09(2025)061

A bstract The (bosonic) Virasoro minimal string, which relates worldsheet string theory to a deformation of the JT gravity matrix model, provides an interesting example of a tractable matrix/string duality. We explore its N = 1 supersymmetric generalization, the super Virasoro minimal string, which we expect to be dual to a deformation of the N = 1 JT supergravity matrix model. The worldsheet theory is characterized by two copies of super Liouville theory, one with central charge c > 27 2 (the spacelike regime) and another with c < 3 2 (the timelike regime), coupled to worldsheet supergravity and subject to diagonal (Type 0A/B) GSO projection. As a first step, we define the timelike theory, which has hitherto not been bootstrapped, by obtaining its spectrum and structure constants. Furthermore, we also outline the matrix model’s predictions for the worldsheet observables. Curiously, all perturbative amplitudes are predicted to vanish in the 0B theory, while all tree-level amplitudes vanish in the 0A case. Using the worldsheet description, we explicitly verify this prediction (modulo an assumption) only for the simplest of the worldsheet observables, the sphere three-point function. A detailed study of other observables and verification of the duality is deferred for the future.