Affiliation:
1. University of Paris-Saclay
Abstract
In critical loop models, there exist diagonal fields with arbitrary
conformal dimensions, whose 3-point
functions coincide with those of Liouville theory at
c≤ 1.
We study their N-point
functions, which depend on the 2^{N-1}
weights of topologically inequivalent loops on a sphere with
N
punctures. Using a numerical conformal bootstrap approach, we find that
4-point
functions decompose into infinite but discrete linear combinations of
conformal blocks. We conclude that diagonal fields belong to an
extension of the O(n)
model.
Funder
European Research Council
Subject
Statistical and Nonlinear Physics,Atomic and Molecular Physics, and Optics,Nuclear and High Energy Physics,Condensed Matter Physics
Cited by
3 articles.
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