S-matrices in the holomorphic modular bootstrap approach
arXiv:2602.14665
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.
18 pages, 1 figure, Appendix by Abhiram Kidambi; A Mathematica notebook with many more examples is provided as an ancillary file