S-matrices in the holomorphic modular bootstrap approach

Fuente: arXiv
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Autori principali: Govindarajan, Suresh, Jain, Aditya, Sadanandan, Akhila, Kidambi, Abhiram
Natura: Preprint
Pubblicazione: 2026
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author Govindarajan, Suresh
Jain, Aditya
Sadanandan, Akhila
Kidambi, Abhiram
author_facet Govindarajan, Suresh
Jain, Aditya
Sadanandan, Akhila
Kidambi, Abhiram
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2602_14665
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle S-matrices in the holomorphic modular bootstrap approach
Govindarajan, Suresh
Jain, Aditya
Sadanandan, Akhila
Kidambi, Abhiram
High Energy Physics - Theory
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.
title S-matrices in the holomorphic modular bootstrap approach
topic High Energy Physics - Theory
url https://arxiv.org/abs/2602.14665