Resurgence in the Virasoro minimal string and 3d gravity
- 1University of Bern
Abstract
We compute non-perturbative, resurgent contributions to the Virasoro minimal string and 3d gravity using techniques from hermitian matrix models. In particular, we construct a fully non-perturbative partition function for the Virasoro minimal string in terms of a Zak transform. In this context, negative tension D-branes appear naturally, which in the matrix model correspond to anti-eigenvalues, or instantons on the involuted sheet of the spectral curve. We further extend this analysis to resolvents and observe resurgent wall crossing phenomena between ZZ- and FZZT-branes. Using recent results that relate the Virasoro minimal string to 3d gravity with end-of-the-world branes we proceed to study the resurgent consequences of summing over the genus in 3d gravity, where we find non-perturbative contributions of doubly exponential type. These statements are then tested using resurgent large-order asymptotics. Lastly, we compute the non-perturbative eigenvalue density for generic hermitian matrix models and identify the change of asymptotic behavior at the edge of the eigenvalue distribution with a Stokes transition. This allows us to identify oscillations in the eigenvalue density with anti-Stokes behavior of FZZT-branes. In the case of 3d gravity with end-of-the-world branes we comment how this Stokes transition coincides with the onset of black hole behaviour and compute the non-perturbative primary density. Furthermore, we apply these techniques to the eigenvalue density of JT gravity to compute higher genus corrections.
Related
- Super Liouville theory on the torus: bootstrap and the super Virasoro minimal string
- The non-perturbative topological string: from resurgence to wall-crossing of DT invariants
- Bulk OPE Coefficients of the E-Series Virasoro Minimal Models
- Genus-One Rigidity of Bounded Virasoro Pairings for 3D Gravity
- Conformal blocks and braiding matrices for RCFTs I: Virasoro minimal models
BibTeX
@article{schwick2026resurgence,
title = {{Resurgence in the Virasoro minimal string and 3d gravity}},
author = {Maximilian Schwick},
journal = {Journal of High Energy Physics},
year = {2026},
month = nov,
doi = {10.1007/jhep11(2026)043},
url = {https://link.springer.com/article/10.1007/JHEP11(2026)043},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Resurgence in the Virasoro minimal string and 3d gravity
AU - Maximilian Schwick
PY - 2026
DA - 2026/11/05
JO - Journal of High Energy Physics
DO - 10.1007/jhep11(2026)043
UR - https://link.springer.com/article/10.1007/JHEP11(2026)043
AB - We compute non-perturbative, resurgent contributions to the Virasoro minimal string and 3d gravity using techniques from hermitian matrix models. In particular, we construct a fully non-perturbative partition function for the Virasoro minimal string in terms of a Zak transform. In this context, negative tension D-branes appear naturally, which in the matrix model correspond to anti-eigenvalues, or instantons on the involuted sheet of the spectral curve. We further extend this analysis to resolvents and observe resurgent wall crossing phenomena between ZZ- and FZZT-branes. Using recent results that relate the Virasoro minimal string to 3d gravity with end-of-the-world branes we proceed to study the resurgent consequences of summing over the genus in 3d gravity, where we find non-perturbative contributions of doubly exponential type. These statements are then tested using resurgent large-order asymptotics. Lastly, we compute the non-perturbative eigenvalue density for generic hermitian matrix models and identify the change of asymptotic behavior at the edge of the eigenvalue distribution with a Stokes transition. This allows us to identify oscillations in the eigenvalue density with anti-Stokes behavior of FZZT-branes. In the case of 3d gravity with end-of-the-world branes we comment how this Stokes transition coincides with the onset of black hole behaviour and compute the non-perturbative primary density. Furthermore, we apply these techniques to the eigenvalue density of JT gravity to compute higher genus corrections.
SN - 1029-8479
ER -