Correlation functions in loop models

Benoit Estienne; Yacine Ikhlef

Correlation functions in loop models

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arxiv 1505.00585 v1 pith:QV4YF6LZ submitted 2015-05-04 math-ph cond-mat.stat-mechhep-thmath.MP

Benoit Estienne , Yacine Ikhlef This is my paper · ORCID

classification math-phcond-mat.stat-mechhep-thmath.MP

keywords bulklogarithmicmodelrootstructureunityalgebraanalyse

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abstract

In this paper we provide a step towards the understanding of the O($n$) bulk operator algebra. By using a mixture of analytical and numerical methods, we compute (ratios of) structure constants, and analyse the logarithmic structure of the transfer matrix. We believe that the O($n$) model for a generic value of $n = q + q^{-1}$ (i.e. for $q$ not a root of unity) provides a toy model of a bulk logarithmic CFT that is considerably simpler than its counterparts at $q$ a root of unity.

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