Quantum Field Theory and the Space of All Lie Algebras
Mathematical Physics
2007-05-23 v3 Algebraic Geometry
Group Theory
math.MP
Abstract
The space M_n of all isomorphism classes of n-dimensional Lie algebras over a field k has a natural non-Hausdorff topology, induced from the Segal topology by the action of GL(n). One way of studying this complicated space is by topological invariants. In this article we propose a new class of invariants coming from quantum field theory, valid in any dimension, inspired by Jaffe's study of generalizations of the Witten index.
Keywords
Cite
@article{arxiv.math-ph/0304031,
title = {Quantum Field Theory and the Space of All Lie Algebras},
author = {William Gordon Ritter},
journal= {arXiv preprint arXiv:math-ph/0304031},
year = {2007}
}
Comments
12 pages, accepted for publication