Supersymmetry and Combinatorics
arXiv:math-ph/0603082 · doi:10.1007/s00220-007-0281-8
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.
14 pages, 3 figures, text expanded, references added