A Note on the Quantum Berezinian for the Double Yangian of the Lie Superalgebra
L Bagnoli, S Kožić - Algebras and Representation Theory, 2024 - Springer
In this note, we generalize the notion of quantum Berezinian to the double Yangian DY ( gl
m | n ) \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} …
m | n ) \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} …
The Gaudin model for the general linear Lie superalgebra and the completeness of the Bethe ansatz
WK Cheong, N Lam - arxiv preprint arxiv:2501.00401, 2024 - arxiv.org
Let $\mathfrak {B} _ {m| n}(\underline {\boldsymbol {z}}) $ be the Gaudin algebra of the
general linear Lie superalgebra $\mathfrak {gl} _ {m| n} $ with respect to a sequence …
general linear Lie superalgebra $\mathfrak {gl} _ {m| n} $ with respect to a sequence …
Completeness of Bethe Ansatz for Gaudin Models with 𝔤𝔩 (1| 1) Symmetry and Diagonal Twists
K Lu - Symmetry, 2022 - mdpi.com
We studied the Gaudin models with gl (1| 1) symmetry that are twisted by a diagonal matrix
and defined on tensor products of polynomial evaluation gl (1| 1)[t]-modules. Namely, we …
and defined on tensor products of polynomial evaluation gl (1| 1)[t]-modules. Namely, we …