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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2016

The fully packed loop model as a non-rational W 3 conformal field theory

Résumé

The fully packed loop (FPL) model is a statistical model related to the integrable ${{U}_{q}}\left({{\widehat{\mathfrak{s}\mathfrak{l}}}_{3}}\right)$ vertex model. In this paper we study the continuum limit of the FPL. With the appropriate weight of non-contractible loops, we give evidence of an extended W 3 symmetry in the continuum. The partition function on the torus is calculated exactly, yielding new modular invariants of W 3 characters. The full conformal field theory spectrum is obtained, and is found to be in excellent agreement with exact diagonalisation.

Dates et versions

hal-01429889 , version 1 (09-01-2017)

Identifiants

Citer

T Dupic, B Estienne, Y Ikhlef. The fully packed loop model as a non-rational W 3 conformal field theory. Journal of Physics A: Mathematical and Theoretical, 2016, 49 (50), pp.505202 ⟨10.1088/1751-8113/49/50/505202⟩. ⟨hal-01429889⟩
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