Highest weight representations of Uq (sl(2|1)) and correlation functions of the q-deformed supersymmetric t-J model Original Research Article

We re-examine the level-one irreducible highest weight representations of the quantum affine superalgebra Uq(sl(2|1)) and derive the characters and supercharacters associated with these representations. We calculate the exchange relations of the vertex operators and find that these vertex operators satisfy the graded Faddeev-Zamolodchikov algebra. We give an integral expression of the correlation functions of the q-deformed supersymmetric t-J model and derive the difference equations which they satisfy.