Updating the holomorphic modular bootstrap
High Energy Physics - Theory
2026-04-28 v2
Abstract
We update the holomorphic modular bootstrap incorporating a recent result that computes the exact S-matrix within the Modular Linear Differential Equation (MLDE) setting. Further, using knowledge of the allowed exponents modulo one, we obtain admissible solutions to all MLDE's with up to six characters and Wronskian index < 6 and one accessory parameter with c_eff <= 24. We then identify which of the admissible solutions have good fusion rules -- we call such solutions tenable. When possible, we identify the CFT and in the unitary cases the MTC class they belong to.
Cite
@article{arxiv.2604.11277,
title = {Updating the holomorphic modular bootstrap},
author = {Suresh Govindarajan and Akhila Sadanandan},
journal= {arXiv preprint arXiv:2604.11277},
year = {2026}
}
Comments
(v1) 17+23 pages, lots of tables, Mathematica package given as an ancillary file; (v2) new subsection on (5,0) RCFTs added and several (6,0) RCFTs identified