S-matrices in the holomorphic modular bootstrap approach

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Suresh Govindarajan, Aditya Jain, Akhila Sadanandan, Abhiram Kidambi
DOI: 10.48550/arxiv.2602.14665
Cited by: 0

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 $S$-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.

Fields of Study & Subjects

Black Holes and Theoretical Physics Advanced Mathematical Identities Algebraic structures and combinatorial models

Publication details

Journal / source
arXiv (Cornell University)
Publication date
16 February 2026
Language
EN
Document type
Preprint