Phys. Rev. Lett. 79, 4954–4957 (1997)Sum Rule Identities and the Duality Relation for the Potts n-Point Boundary Correlation FunctionReceived 20 June 1997; published in the issue dated 22 December 1997 It is shown that certain sum rule identities exist which relate correlation functions for n Potts spins on the boundary of a planar lattice for n≥4. Explicit expressions of the identities are obtained for n = 4. It is also shown that the identities provide the missing link needed for a complete determination of the duality relation for the n-point boundary correlation function. The n = 4 duality relation is obtained explicitly. More generally we deduce the number of sum rule identities as well as a cyclic inversion relation for any n, and conjecture on the general form of the duality relation. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.79.4954
DOI:
10.1103/PhysRevLett.79.4954
PACS:
05.50.+q, 75.10.Hk
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