A level-one representation of the quantum affine superalgebra $\U_q(\hat{\frak{sl}}(M+1|N+1))$

K. Kimura; J. Shiraishi; J. Uchiyama

doi:10.1007/s002200050169

paper

A level-one representation of the quantum affine superalgebra $\U_q(\hat{\frak{sl}}(M+1|N+1))$

arXiv:q-alg/9605047 · doi:10.1007/s002200050169

Abstract

A level-one representation of the quantum affine superalgebra $\U_q(\hat{\frak{sl}}(M+1|N+1))$ and vertex operators associated with the fundamental representations are constructed in terms of free bosonic fields. Character formulas of level-one irreducible highest weight modules of $\U_q(\hat{\frak{sl}}(2|1))$ are conjectured.

AMS-TeX, 11 pages

References in corpus (3)

Correlation Functions of the XXZ model for $Δ < - 1$
Diagonalization of the XXZ Hamiltonian by Vertex Operators
Free Boson Realization of $U_{q} (s l_{N})$

Cited by in corpus (20)

Representations of Quantum Affine Superalgebras
Correlation functions of the half-infinite XXZ spin chain with a triangular boundary
Quantum toroidal algebra associated with $gl_{m ∣ n}$
Level-One Representations and Vertex Operators of Quantum Affine Superalgebra $U_{q} [g l (N ∣ N)^]$
Highest weight representations of $U_{q} (s l^(2∣1))$ and correlation functions of the q-deformed supersymmetric t-J model
Diagonalization of transfer matrix of supersymmetry $u_{q} (s l^(m + 1∣ n + 1))$ chain with a boundary
q-Difference Realization of U_q(sl(M|N)) and Its Application to Free Boson Realization of U_q(\widehat{sl}(2|1))
Form factors of the half-infinite XXZ spin chain with a triangular boundary
Vertex Representations for Yangians of Kac-Moody algebras
Drinfeld Basis And a Nonclassical Free Boson Representation of Twisted Quantum Affine Superalgebra $U_{q} [os p (2∣2)^{(2)}]$ }
Vertex Operators of $U_{q} [g l (N ∣ N)^]$ and Highest Weight Representations of $U_{q} [g l (2∣2)^]$
Level-one Highest Weight Representation of $U_{q} [s l (N ∣1)^]$ and Bosonization of the Multi-component Super t-J Model
Level-One Highest Weight Representations of $U_{q} [g l (1∣1)^]$ and Associated Vertex Operators
$U_{q} [s l (2∣1)^]$ Vertex Operators, Screen Currents and Correlation Functions at Arbitrary Level
Free Field Realization of Quantum Affine Superalgebra $U_{q} (s l^(N ∣1))$
q-deformed Supersymmetric t-J Model with a Boundary
A Bosonization of $U_{q} (s l (M ∣ N))$
Screenings and Vertex Operators of Quantum Superalgebra $U_{q} (s l^(N ∣1))$
An integrable $U_{q} (g l^(2∣2))_{1}$ -Model: Corner Transfer Matrices and Young Skew Diagrams
Commutation relations of vertex operators for $U_{q} (s l (M ∣ N))$