English

Supersymmetric Virasoro Minimal Strings

High Energy Physics - Theory 2025-05-19 v4 General Relativity and Quantum Cosmology

Abstract

A random matrix model definition of a family of N=1{\cal N}{=}1 supersymmetric extensions of the Virasoro minimal string of Collier, Eberhardt, M\"{u}hlmann, and Rodriguez is presented. An analysis of the defining string equations shows that the models all naturally have unambiguous non-perturbative completions, which are explicitly supplied by the double-scaled orthogonal polynomial techniques employed. Perturbatively, the multi-loop correlation functions of the model define a special supersymmetric class of ``quantum volumes'', generalizing the prototype case, some of which are computed.

Keywords

Cite

@article{arxiv.2401.08786,
  title  = {Supersymmetric Virasoro Minimal Strings},
  author = {Clifford V. Johnson},
  journal= {arXiv preprint arXiv:2401.08786},
  year   = {2025}
}

Comments

8 pages, 4 figures, 1 trumpet. v2: Refs added, discussion improved. Section added with computations of new quantum volumes. v3: bibtex error fixed. v4: Published version added

R2 v1 2026-06-28T14:18:40.524Z