Ian Affleck et al 1998 J. Phys. A: Math. Gen. 31 5827 doi:10.1088/0305-4470/31/28/003
Boundary critical phenomena in the three-state Potts model
Ian Affleck
, Masaki Oshikawa
and Hubert Saleur§
Boundary critical phenomena are studied in the three-state Potts model in two dimensions using conformal field theory, duality and renormalization group methods. A presumably complete set of boundary conditions is obtained using both fusion and orbifold methods. Besides the previously known free, fixed and mixed boundary conditions a new one is obtained. This illustrates the necessity of considering fusion with operators that do not occur in the bulk spectrum, to obtain all boundary conditions. It is shown that this new boundary condition is dual to the mixed ones. The phase diagram for the quantum chain version of the Potts model is analysed using duality and renormalization group arguments.
- PACS
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05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
- MSC
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82B28 Renormalization group methods (See also 81T17)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
81T40 Two-dimensional field theories, conformal field theories, etc.
- Subjects
- Dates
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Issue 28 (17 July 1998)
Received 7 April 1998
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Boundary critical phenomena in the three-state Potts model
Ian Affleck et al 1998 J. Phys. A: Math. Gen. 31 5827
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