Modular Matrix Models

Details Modular Matrix Models Modular Matrix Models

2003-07-30

arxiv.org/abs/hep-th/0307293v2

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 1 Figure; LaTeX; v.2 adds two references

Scientific paper

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.

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