Grassmann Integral Representation for Spanning Hyperforests

Simple item page
dc.creatorCaracciolo, Sergio
dc.creatorSokal, Alan D.
dc.creatorSportiello, Andrea
dc.date2007-06-11
dc.date2007-10-16
dc.date.accessioned2026-07-07T10:56:10Z
dc.date.available2026-07-07T10:56:10Z
dc.descriptionGiven a hypergraph G, we introduce a Grassmann algebra over the vertex set, and show that a class of Grassmann integrals permits an expansion in terms of spanning hyperforests. Special cases provide the generating functions for rooted and unrooted spanning (hyper)forests and spanning (hyper)trees. All these results are generalizations of Kirchhoff's matrix-tree theorem. Furthermore, we show that the class of integrals describing unrooted spanning (hyper)forests is induced by a theory with an underlying OSP(1|2) supersymmetry.
dc.description50 pages, it uses some latex macros. Accepted for publication on J. Phys. A
dc.identifierhttps://arxiv.org/abs/0706.1509
dc.identifierhttp://arxiv.org/abs/0706.1509
dc.identifierJ.Phys.A40:13799-13835,2007
dc.identifierdoi:10.1088/1751-8113/40/46/001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186321
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.subjectCombinatorics
dc.titleGrassmann Integral Representation for Spanning Hyperforests
dc.typetext

Files

Collections

arXiv