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Supersymmetry and Combinatorics

E. Onofri·G. Veneziano·J. Wosiek
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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.

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E. Onofri, G. Veneziano, J. Wosiek. 2006-12-11. Supersymmetry and Combinatorics. https://doi.org/10.1007/s00220-007-0281-8

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