Data di Pubblicazione:
2007
Citazione:
Grassmann integral representation for spanning hyperforests / S. Caracciolo, A.D. Sokal, A. Sportiello. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 40:46(2007), pp. 13799-13835.
Abstract:
Given 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.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
S. Caracciolo, A.D. Sokal, A. Sportiello
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