Level-One Highest Weight Representations of $U_q[\widehat{gl(1|1)}]$ and Associated Vertex Operators

Abstract

We study the level-one irreducible highest weight representations of $U_q[\widehat{gl(1|1)}]$ and associated q-vertex operators. We obtain the exchange relations satisfied by the vertex operators. The characters and supercharacters associated with these irreducible representations are calculated.

LaTex file 13 pages

References in corpus (3)

• The twisted quantum affine algebra $U_q(A^{(2)_2)$ and correlation functions of the Izergin-Korepin model
• Highest weight representations of $U_q(\widehat{sl}(2|1))$ and correlation functions of the q-deformed supersymmetric t-J model
• Level-One Representations and Vertex Operators of Quantum Affine Superalgebra $U_q[\widehat{gl(N|N)}]$

Cited by in corpus (3)

• Level-one Highest Weight Representation of $U_q[\widehat{sl(N|1)}]$ and Bosonization of the Multi-component Super t-J Model
• On the algebra A_{\hbar,η}(osp(2|2)^{(2)}) and free boson representations
• $U_q[\widehat{sl(2|1)}]$ Vertex Operators, Screen Currents and Correlation Functions at Arbitrary Level