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Using conformal field theoretic methods we calculate correlation functions of geometric observables in the loop representation of the O(n) model at the critical point.
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
M. Abramowitz and I. A. Stegun · 1964
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Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas
B. Nienhuis · 1984
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Infinite conformal symmetry in two-dimensional quantum field theory
A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov · 1984
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Conformal Invariance and Surface Critical Behavior
J. Cardy · 1984
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Exact determination of the percolation hull exponent in two dimensions
H. Saleur and B. Duplantier · 1987
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Logarithmic operators in conformal field theory
V. Gurarie · 1993
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Scaling limits of loop-erased random walks and uniform spanning trees
O. Schramm · 2000
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Linking numbers for self-avoiding loops and percolation: Application to the spin quantum hall transition
J. Cardy · 2000
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Conformal Algebras of 2D Disordered Systems
V. Gurarie and A. W. W. Ludwig · 2000
Cited alongside, same era.
A percolation formula
O. Schramm · 2001
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Basic properties of SLE
S. Rohde and O. Schramm · 2005
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The scaling limit of two cluster boundaries in critical lattice models
A. Gamsa and J. Cardy · 2005
Cited alongside, same era.
SLE for theoretical physicists
J. Cardy · 2005
Cited alongside, same era.
Notes on generalized nullvectors in logarithmic CFT
H. Eberle and M. Flohr · 2006
Later among the works it cites.
Correlation functions of twist operators applied to single self-avoiding loops
A. Gamsa and J. Cardy · 2006
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Percolation crossing formulae and conformal field theory
J. J. H. Simmons, P. Kleban, and R. M. Ziff · 2007
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From percolation to logarithmic conformal field theory
P. Mathieu and D. Ridout · 2007
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The conformally invariant measure on self-avoiding loops
W. Werner · 2008
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From SLE to the operator content of percolation
K. Kytölä · 2008
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