Multicritical points of the Potts spin glasses on the triangular lattice

Conjecture on the exact multicritical points for several types of the Potts spin glass model on the triangular lattice is given, using a technique based on the duality in conjunction with the replica method. The considered Potts spin glass models are of two types; only with three-body interactions and with two- and three-body interactions on the triangular lattice. In the former case, the multicritical points are predicted for the general q-state Potts spin glass model, while in the latter case the results are presented for two types of the 2-state Potts spin glass.