Quantum Gravity and String Theory


Discrete Motives for Moonshine

Authors: M. D. Sheppeard

From the holographic perspective in quantum gravity, topological field theories like Chern-Simons are more than toy models for computation. An algebraic construction of the CFT associated to Witten's j-invariant for 2+1 dimensional gravity aims to compute coefficients of modular forms from the combinatorics of quantum logic, dictated by axioms in higher dimensional categories, with heavy use of the golden ratio. This paper is self contained, including introductory material on lattices, and aims to show how the Monster group and its infinite module arise when the automorphisms of the Leech lattice are extended by special point sets in higher dimensions, notably the 72 dimensional lattice of Nebe.

Comments: 35 Pages.

Download: PDF

Submission history

[v1] 2019-06-23 16:51:38
[v2] 2019-06-28 17:32:44
[v3] 2019-07-03 16:10:06
[v4] 2019-07-14 16:06:53
[v5] 2019-07-30 15:40:35
[v6] 2019-09-19 16:14:23

Unique-IP document downloads: 67 times

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