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The arboreal gas and the supersphere sigma model | | Jesper Lykke Jacobsen
; Hubert Saleur
; | | Date: |
2 Feb 2005 | | Journal: | Nucl.Phys. B716 (2005) 439-461 DOI: 10.1016/j.nuclphysb.2005.04.001 | | Subject: | Other; Statistical Mechanics | cond-mat.other cond-mat.stat-mech hep-th | | Affiliation: | LPTMS, SPhT), Hubert Saleur (SPhT | | Abstract: | We discuss the relationship between the phase diagram of the Q=0 state Potts model, the arboreal gas model, and the supersphere sigma model S^{0,2} = OSP(1/2) / OSP(0/2). We identify the Potts antiferromagnetic critical point with the critical point of the arboreal gas (at negative tree fugacity), and with a critical point of the sigma model. We show that the corresponding conformal theory on the square lattice has a non-linearly realized OSP(2/2) = SL(1/2) symmetry, and involves non-compact degrees of freedom, with a continuous spectrum of critical exponents. The role of global topological properties in the sigma model transition is discussed in terms of a generalized arboreal gas model. | | Source: | arXiv, cond-mat/0502052 | | Services: | Forum | Review | PDF | Favorites | |
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