Upper bounds on the Witten index for supersymmetric lattice models by discrete Morse theory

DOI10.1016/j.ejc.2008.05.004zbMath1157.82007arXiv0805.2163OpenAlexW2076483654MaRDI QIDQ1003594

Alexander Engström

Publication date: 4 March 2009

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.2163

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (7)

A note on the values of independence polynomials at \(-1\) ⋮ Special cycles in independence complexes and superfrustration in some lattices ⋮ Extremal problems related to Betti numbers of flag complexes ⋮ The cyclomatic number of a graph and its independence polynomial at \(- 1\) ⋮ A simple proof of an inequality connecting the alternating number of independent sets and the decycling number ⋮ Certain homology cycles of the independence complex of grids ⋮ Upper bounds for the independence polynomial of graphs at \(-1\)

Cites Work

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• On the independence complex of square grids
• Morse theory for cell complexes
• Counting 1-factors in regular bipartite graphs
• Complexes of directed trees
• An improved upper bound for the \(3\)-dimensional dimer problem
• Simplicial complexes of graphs
• Independence complexes of claw-free graphs
• The topology of the independence complex
• Hard squares with negative activity and rhombus tilings of the plane
• Extensive ground state entropy in supersymmetric lattice models
• Hard squares with negative activity

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