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We give a review of some recent work on generalization of the Bethe ansatz inthe case of $2+1$-dimensional models of quantum field theory. As such a model,we consider one associated with the tetrahedron equation, i.e. the$2+1$-dimensional generalization of the famous Yang--Baxter equation. Weconstruct some eigenstates of the transfer matrix of that model. There arise,together with states composed of point-like particles analogous to those in theusual $1+1$-dimensional Bethe ansatz, new string-like states andstring-particle hybrids

Particles and Strings in a 2 + 1-D Integrable Quantum Model