Supersymmetry and Combinatorics
E. Onofri, GABRIELE VENEZIANO, J. Wosiek · 2006
We show how a recently proposed supersymmetric quantum mechanics model leads to nontrivial results/conjectures on the combinatorics of binary necklaces and linear-feedback shift-registers. Fermi statistics plays a crucial role by projecting out certain states/necklaces by virtue of Pauli’s famous exclusion principle. Some of our results can be rephrased in Binary necklaces (BNLs) and linear-feedback shift-registers (LFSRs) are much studied objects in the branch of mathematics known as combinatorics (for standard textbooks, see for example[1], [2]). Let us start by recalling what is known in the literature about counting and/or enumerating these objects.