S-matrices in the holomorphic modular bootstrap approach
High Energy Physics - Theory
2026-02-17 v1
Abstract
We numerically determine the S-matrix by using connection formulae in the modular linear differential equation (MLDE) approach to the holomorphic modular bootstrap. We then determine exact formulae using the fact that entries in the -matrix are integer entries in a cyclotomic extension of the field of rational numbers. This provides a method that is intrinsic to the MLDE setup and does not require inputs outside this framework. The method is illustrated with a selection of examples.
Cite
@article{arxiv.2602.14665,
title = {S-matrices in the holomorphic modular bootstrap approach},
author = {Suresh Govindarajan and Aditya Jain and Akhila Sadanandan and Abhiram Kidambi},
journal= {arXiv preprint arXiv:2602.14665},
year = {2026}
}
Comments
18 pages, 1 figure, Appendix by Abhiram Kidambi; A Mathematica notebook with many more examples is provided as an ancillary file