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Parafermionic theory with the symmetry Z_5
Vladimir Dotsenko, Jesper Lykke Jacobsen, Raoul Santachiara
A parafermionic conformal theory with the symmetry Z_5 is constructed, based on the second solution of Fateev-Zamolodchikov for the corresponding parafermionic chiral algebra. The…
Exact Potts Model Partition Functions for Strips of the Triangular Lattice
Shu-Chiuan Chang, Jesper Lykke Jacobsen, Jesús Salas +1
We present exact calculations of the Potts model partition function Z(G,q,v) for arbitrary q and temperature-like variable v on n-vertex strip graphs G of the triangular lattice fo…
Conformal field theory of the Flory model of polymer melting
Jesper Lykke Jacobsen, Jane' Kondev
We study the scaling limit of a fully packed loop model in two dimensions, where the loops are endowed with a bending rigidity. The scaling limit is described by a three-parameter…
Monochromatic path crossing exponents and graph connectivity in 2D percolation
Jesper Lykke Jacobsen, Paul Zinn-Justin
We consider the fractal dimensions d_k of the k-connected part of percolation clusters in two dimensions, generalizing the cluster (k=1) and backbone (k=2) dimensions. The codimens…
Dense loops, supersymmetry, and Goldstone phases in two dimensions
J. L. Jacobsen, N. Read, H. Saleur
Loop models in two dimensions can be related to O(N) models. The low-temperature dense-loops phase of such a model, or of its reformulation using a supergroup as symmetry, can have…
Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models III. Triangular-Lattice Chromatic Polynomial
Jesper Lykke Jacobsen, Jesús Salas, Alan D. Sokal
We study the chromatic polynomial P_G(q) for m \times n triangular-lattice strips of widths m <= 12_P, 9_F (with periodic or free transverse boundary conditions, respectively) and…