Phase transition in the spanning-hyperforest model on complete hypergraphs

DOI10.1016/j.nuclphysb.2009.07.008zbMath1196.82069arXiv0906.4503OpenAlexW2030765364MaRDI QIDQ1960117

Andrea Sportiello, Andrea Bedini, Sergio Caracciolo

Publication date: 12 October 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.4503

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Grassmannians, Schubert varieties, flag manifolds (14M15) Symmetry breaking in quantum theory (81R40) Phase transitions (general) in equilibrium statistical mechanics (82B26) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (2)

Random spanning forests and hyperbolic symmetry ⋮ Spanning forests andOSP(N|2M) -invariantσ-models

Cites Work

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• The arboreal gas and the supersphere sigma model
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• Matching theory
• The phase transition in a random hypergraph
• The Grassmann-Berezin calculus and theorems of the matrix-tree type
• Potts models and random-cluster processes with many-body interactions
• The random-cluster model on the complete graph
• The dilute Potts model on random surfaces
• Renormalization flow for unrooted forests on a triangular lattice
• Towards a theory of negative dependence
• A combinatorial proof of Rayleigh monotonicity for graphs
• Hyperforests on the complete hypergraph by Grassmann integral representation
• The Evolution of Random Graphs
• The birth of the giant component
• Grassmann integral representation for spanning hyperforests
• Exactly solvable Potts models, bond- and tree-like percolation on dynamical (random) planar lattice
• The Potts-\(q\) random matrix model: Loop equations, critical exponents, and rational case.

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