Supersymmetry and Combinatorics
Mathematical Physics
2008-11-26 v2 High Energy Physics - Theory
math.MP
Abstract
We show how a recently proposed supersymmetric quantum mechanics model leads to non-trivial results/conjectures on the combinatorics of binary necklaces and linear-feedback shift-registers. Pauli's exclusion principle plays a crucial role: by projecting out certain states/necklaces, it allows to represent the supersymmetry algebra in the resulting subspace. Some of our results can be rephrased in terms of generalizations of the well-known Witten index.
Cite
@article{arxiv.math-ph/0603082,
title = {Supersymmetry and Combinatorics},
author = {E. Onofri and G. Veneziano and J. Wosiek},
journal= {arXiv preprint arXiv:math-ph/0603082},
year = {2008}
}
Comments
14 pages, 3 figures, text expanded, references added