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Curvature Matrix Models for Dynamical Triangulations and the Itzykson-DiFrancesco Formula

Abstract:

We study the large-N limit of a class of matrix models for dually weighted triangulated random surfaces using character expansion techniques. We show that for various choices of the weights of vertices of the dynamical triangulation the model can be solved by resumming the Itzykson-Di Francesco formula over congruence classes of Young tableau weights modulo three. From this we show that the large-N limit implies a non-trivial correspondence with models of random surfaces weighted with only ev...

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Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Theoretical Physics
Journal:
Nucl.Phys. B
Volume:
491
Issue:
3
Pages:
689-723
Publication date:
1996-09-30
DOI:
ISSN:
0550-3213
URN:
uuid:44263110-e0df-484e-a448-aff68fb5e2ab
Source identifiers:
12363
Local pid:
pubs:12363
Keywords:

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