Modular Matrix Models
High Energy Physics - Theory
2007-05-23 v2
Abstract
Inspired by a formal resemblance of certain q-expansions of modular forms and the master field formalism of matrix models in terms of Cuntz operators, we construct a Hermitian one-matrix model, which we dub the ``modular matrix model.'' Together with an N=1 gauge theory and a special Calabi-Yau geometry, we find a modular matrix model that naturally encodes the Klein elliptic j-invariant, and hence, by Moonshine, the irreducible representations of the Fischer-Griess Monster group.
Cite
@article{arxiv.hep-th/0307293,
title = {Modular Matrix Models},
author = {Yang-Hui He and Vishnu Jejjala},
journal= {arXiv preprint arXiv:hep-th/0307293},
year = {2007}
}
Comments
30 pages, 1 Figure; LaTeX; v.2 adds two references