Grassmann integral representation for spanning hyperforests

DOI10.1088/1751-8113/40/46/001zbMath1155.05049arXiv0706.1509OpenAlexW1976531455WikidataQ56893144 ScholiaQ56893144MaRDI QIDQ5427746

Andrea Sportiello, Sergio Caracciolo, Alan D. Sokal

Publication date: 26 November 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1509

Mathematics Subject Classification ID

Hypergraphs (05C65) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Technical applications of optics and electromagnetic theory (78A55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Supersymmetry and quantum mechanics (81Q60)

Related Items (12)

Supersymmetric hyperbolic \(\sigma\)-models and bounds on correlations in two dimensions ⋮ Spanning forests on random planar lattices ⋮ Random spanning forests and hyperbolic symmetry ⋮ Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and Pfaffians ⋮ The renormalization group. Abstracts from the workshop held July 17--23, 2022 ⋮ Dualities between fermionic theories and the Potts model ⋮ Exact solution of the 2d dimer model: corner free energy, correlation functions and combinatorics ⋮ Critical behaviour of spanning forests on random planar graphs ⋮ Spanning forests andOSP(N|2M) -invariantσ-models ⋮ Phase transition in the spanning-hyperforest model on complete hypergraphs ⋮ Complete monotonicity for inverse powers of some combinatorially defined polynomials ⋮ Renormalization flow for unrooted forests on a triangular lattice

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