Highest weight representations of $U_q(\hat{sl}(2|1))$ and correlation functions of the q-deformed supersymmetric t-J model

Details Highest weight representations of $U_q(\hat{sl}(2|1))$ and correlation functions of the q-deformed supersymmetric t-J model Highest weight representations of $U_q(\hat{sl}(2|1))$ and correlation functions of the q-deformed supersymmetric t-J model

1998-12-04

arxiv.org/abs/math/9812027v2

Nucl. Phys. B547 (1999) 599-622

Mathematics

Quantum Algebra

Some misprints corrected; RevTex 18 pages

Scientific paper

10.1016/S0550-3213(99)00050-4

We re-examine the level-one irreducible highest weight representations of the quantum affine superalgebra $U_q(\hat{sl}(2|1))$ 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.

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