S-matrices in the holomorphic modular bootstrap approach

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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Publication Details

Journal
Physics Letters B
Published
2026-05-01
DOI
https://doi.org/10.1016/j.physletb.2026.140514
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.00
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article

S-matrices in the holomorphic modular bootstrap approach

Abhiram Kidambi, Aditya Jain, Akhila Sadanandan, Suresh Govindarajan
Physics Letters B
Polynomial and algebraic computation
article

S-matrices in the holomorphic modular bootstrap approach

Abhiram Kidambi, Aditya Jain, Akhila Sadanandan, Suresh Govindarajan
article en

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.

Physics Letters B
University of Potsdam (DE), Indian Institute of Technology Madras (IN), University of Applied Sciences Potsdam (DE), Max Planck Institute for Mathematics in the Sciences (DE), Max Planck Institute of Molecular Plant Physiology (DE), Max Planck Institute for Mathematics (DE)
Openalex Percentile: Top 3%
Polynomial and algebraic computation
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S-matrices in the holomorphic modular bootstrap approach — Abhiram Kidambi, Aditya Jain, et al. · Physics Letters B (2026) | TGRS Research Map | TGRS