The Conway-Miyamoto correspondences for the Fischer 3-transposition groups

Ching Hung Lam; Hiroshi Yamauchi

The Conway-Miyamoto correspondences for the Fischer 3-transposition groups

Quantum Algebra 2021-11-11 v2

Authors: Ching Hung Lam , Hiroshi Yamauchi

Abstract

In this paper, we present a general construction of 3-transposition groups as automorphism groups of vertex operator algebras. Applying to the moonshine vertex operator algebra, we establish the Conway-Miyamoto correspondences between Fischer 3-transposition groups $\mathrm{Fi}_{23}$ and $\mathrm{Fi}_{22}$ and $c=25/28$ and $c=11/12$ Virasoro vectors of subalgebras of the moonshine vertex operator algebra.

Keywords

3-transposition groups vertex operator algebras Conway-Miyamoto correspondences Fischer 3-transposition groups Virasoro vectors Moonshine vertex operator algebra automorphism groups

Cite

@article{arxiv.1604.04989,
  title  = {The Conway-Miyamoto correspondences for the Fischer 3-transposition groups},
  author = {Ching Hung Lam and Hiroshi Yamauchi},
  journal= {arXiv preprint arXiv:1604.04989},
  year   = {2021}
}

Comments

3 figure files (fig1.tex, fig2.tex, fig3.tex) included

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