He, Y. & Jejjala, V. (2003). Modular matrix models (Report No. UPR-1048-T, VPI-IPPAP-03-12). Philadelphia: The University of Pennsylvania.
Download (326kB) | Preview
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.
|Additional Information:||archiveprefix: arXiv primaryclass: hep-th|
|Subjects:||Q Science > QC Physics|
|Divisions:||School of Engineering & Mathematical Sciences > Department of Mathematical Science|
Actions (login required)
Downloads per month over past year