S-matrices in the holomorphic modular bootstrap approach

Physics Letters B 2026 Open access

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Authors: Suresh Govindarajan, Aditya Jain, Akhila Sadanandan, Abhiram Kidambi
DOI: 10.1016/j.physletb.2026.140514
Cited by: 1
References: 21

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

Polynomial and algebraic computation Nonlinear Waves and Solitons Numerical methods for differential equations

Publication details

Journal / source
Physics Letters B
Publisher
Elsevier BV
Volume
878
Pages
140514–140514
Publication date
11 May 2026
Language
EN