Supersymmetry and Combinatorics

Details Supersymmetry and Combinatorics Supersymmetry and Combinatorics

2006-03-30

arxiv.org/abs/math-ph/0603082v2

Commun.Math.Phys.274:343-355,2007

Physics

Mathematical Physics

14 pages, 3 figures, text expanded, references added

Scientific paper

10.1007/s00220-007-0281-8

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.

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