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arXiv · 2602.14665

S-matrices in the holomorphic modular bootstrap approach

Suresh Govindarajan·Aditya Jain·Akhila Sadanandan·Abhiram Kidambi
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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.

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Suresh Govindarajan, Aditya Jain, Akhila Sadanandan, Abhiram Kidambi. 2026-02-16. S-matrices in the holomorphic modular bootstrap approach. https://arxiv.org/abs/2602.14665

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