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arXiv · hep-th/9806121

Completeness of boundary conditions for the critical three-state Potts model

J. Fuchs·C. Schweigert
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Abstract

We show that the conformally invariant boundary conditions for the three-state Potts model are exhausted by the eight known solutions. Their structure is seen to be similar to the one in a free field theory that leads to the existence of D-branes in string theory. Specifically, the fixed and mixed boundary conditions correspond to Neumann conditions, while the free boundary condition and the new one recently found by Affleck et al [1] have a natural interpretation as Dirichlet conditions for a higher-spin current. The latter two conditions are governed by the Lee\hy Yang fusion rules. These results can be generalized to an infinite series of non-diagonal minimal models, and beyond.

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J. Fuchs, C. Schweigert. 1998-06-15. Completeness of boundary conditions for the critical three-state Potts model. https://doi.org/10.1016/s0370-2693(98)01185-x

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