All the D-branes of resurgence
- 1Instituto Superior Técnico
- 2Isaac Newton Institute for Mathematical Sciences
- 3University of Lisbon
Abstract
It was recently shown how to account for all instantons of hermitian matrix models via (anti-) eigenvalue-tunneling–including both exponentially-suppressed and exponentially-enhanced transseries-transmonomials which are predicted by resurgence. Matrix-model eigenvalue-tunneling corresponds to ZZ-branes. The present work shows how matrix-model anti-eigenvalues correspond to negative-tension ZZ-branes; and how to compute generic nonperturbative sectors–with both ZZ and negative-tension-ZZ branes–in the minimal-string free-energy. Negative-tension D-branes are herein a requirement of resurgence. This results in the construction of minimal-string free-energy transseries and the analytic computation of their resurgent Stokes data. Calculations are presented via Liouville boundary conformal field theory and via (matching) matrix model analysis. Minimal-string results are extended to Jackiw–Teitelboim gravity. Building on the matrix model analysis, one extension towards topological string theory is obtained via the remodeling-conjecture–which allows for addressing one-cut, toric Calabi–Yau geometries. Building on the Liouville theory calculation, one other extension towards critical string theory is obtained via the \BH_3^+ –Liouville correspondence–which allows for addressing negative-tension D-instantons in AdS spacetime. Throughout, checks of the construction and formulae are made in several examples, against both Borel resurgent analysis and string-equation transseries data.
Related
- Equivariant localization for wrapped M5-branes and D4-branes
- M-theory geometries from five-brane webs, seven-branes, and T-branes
- Heat Kernel and Resurgence
- Hironaka Geometry and Resurgence in Finite-N Matrix Models
- The non-perturbative topological string: from resurgence to wall-crossing of DT invariants
BibTeX
@article{schiappa2026dbranes,
title = {{All the D-branes of resurgence}},
author = {Ricardo Schiappa and Maximilian Schwick and Noam Tamarin},
journal = {SciPost Physics},
year = {2026},
month = may,
doi = {10.21468/scipostphys.20.5.135},
url = {https://doi.org/10.21468/scipostphys.20.5.135},
note = {CC BY},
}
RIS
TY - JOUR
TI - All the D-branes of resurgence
AU - Ricardo Schiappa
AU - Maximilian Schwick
AU - Noam Tamarin
PY - 2026
DA - 2026/05/15
JO - SciPost Physics
DO - 10.21468/scipostphys.20.5.135
UR - https://doi.org/10.21468/scipostphys.20.5.135
AB - It was recently shown how to account for all instantons of hermitian matrix models via (anti-) eigenvalue-tunneling–including both exponentially-suppressed and exponentially-enhanced transseries-transmonomials which are predicted by resurgence. Matrix-model eigenvalue-tunneling corresponds to ZZ-branes. The present work shows how matrix-model anti-eigenvalues correspond to negative-tension ZZ-branes; and how to compute generic nonperturbative sectors–with both ZZ and negative-tension-ZZ branes–in the minimal-string free-energy. Negative-tension D-branes are herein a requirement of resurgence. This results in the construction of minimal-string free-energy transseries and the analytic computation of their resurgent Stokes data. Calculations are presented via Liouville boundary conformal field theory and via (matching) matrix model analysis. Minimal-string results are extended to Jackiw–Teitelboim gravity. Building on the matrix model analysis, one extension towards topological string theory is obtained via the remodeling-conjecture–which allows for addressing one-cut, toric Calabi–Yau geometries. Building on the Liouville theory calculation, one other extension towards critical string theory is obtained via the \BH_3^+ –Liouville correspondence–which allows for addressing negative-tension D-instantons in AdS spacetime. Throughout, checks of the construction and formulae are made in several examples, against both Borel resurgent analysis and string-equation transseries data.
SN - 2542-4653
ER -