Supersymmetry and Combinatorics

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. Fermi statistics plays a crucial role by projecting out certain states/necklaces by virtue of Pauli's fam...

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Detalles Bibliográficos
Autores principales: Onofri, E, Veneziano, Gabriele, Wosiek, J
Lenguaje:eng
Publicado: 2006
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/s00220-007-0281-8
http://cds.cern.ch/record/939424
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author Onofri, E
Veneziano, Gabriele
Wosiek, J
author_facet Onofri, E
Veneziano, Gabriele
Wosiek, J
author_sort Onofri, E
collection CERN
description 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. 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 terms of generalizations of the well-known Witten index.
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language eng
publishDate 2006
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spelling cern-9394242019-09-30T06:29:59Zdoi:10.1007/s00220-007-0281-8http://cds.cern.ch/record/939424engOnofri, EVeneziano, GabrieleWosiek, JSupersymmetry and CombinatoricsMathematical Physics and MathematicsWe 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. 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 terms of generalizations of the well-known Witten index.math-ph/0603082CERN-PH-TH-2006-046TPJU-2006-6oai:cds.cern.ch:939424oai:cds.cern.ch:939424oai:cds.cern.ch:9394242006-03-30
spellingShingle Mathematical Physics and Mathematics
Onofri, E
Veneziano, Gabriele
Wosiek, J
Supersymmetry and Combinatorics
title Supersymmetry and Combinatorics
title_full Supersymmetry and Combinatorics
title_fullStr Supersymmetry and Combinatorics
title_full_unstemmed Supersymmetry and Combinatorics
title_short Supersymmetry and Combinatorics
title_sort supersymmetry and combinatorics
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/s00220-007-0281-8
http://cds.cern.ch/record/939424
work_keys_str_mv AT onofrie supersymmetryandcombinatorics
AT venezianogabriele supersymmetryandcombinatorics
AT wosiekj supersymmetryandcombinatorics

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