Quantum deformations of the one-dimensional Hubbard model
N Beisert, P Koroteev - Journal of Physics A: Mathematical and …, 2008 - iopscience.iop.org
The centrally extended superalgebra was shown to play an important role for the integrable
structures of the one-dimensional Hubbard model and of the planar AdS/CFT …
structures of the one-dimensional Hubbard model and of the planar AdS/CFT …
[HTML][HTML] Quantum spectral curve for the η-deformed AdS5× S5 superstring
R Klabbers, SJ van Tongeren - Nuclear Physics B, 2017 - Elsevier
The spectral problem for the AdS 5× S 5 superstring and its dual planar maximally
supersymmetric Yang–Mills theory can be efficiently solved through a set of functional …
supersymmetric Yang–Mills theory can be efficiently solved through a set of functional …
Representations of quantum affine superalgebras
H Zhang - Mathematische Zeitschrift, 2014 - Springer
We study the quantum affine superalgebra U_q (L sl (M, N)) U q (L sl (M, N)) and its finite-
dimensional representations. We prove a triangular decomposition and establish a system …
dimensional representations. We prove a triangular decomposition and establish a system …
A relativistic relative of the magnon S-matrix
B Hoare, TJ Hollowood, JL Miramontes - Journal of High Energy Physics, 2011 - Springer
A bstract We construct a relativistic scattering theory based on aq deformation and large
string tension limit of the magnon S-matrix of the string world sheet theory in AdS 5× S 5. The …
string tension limit of the magnon S-matrix of the string world sheet theory in AdS 5× S 5. The …
Representations of Uq (sl (N)) at roots of unity
B Abdesselam, D Arnaudon… - Journal of Physics A …, 1995 - iopscience.iop.org
Abstract The Gelfand-Zetlin basis for representations of U q (sl (N)) is improved to better fit
the case when q is a root of unity. The usual q-deformed representations, as well as the …
the case when q is a root of unity. The usual q-deformed representations, as well as the …
Finite‐dimensional representations of the Lie superalgebra gl (2/2) in a gl (2)⊕ gl (2) basis. I. Typical representations
AH Kamupingene, NA Ky, TD Palev - Journal of mathematical physics, 1989 - pubs.aip.org
In a series of two papers all finite‐dimensional irreducible representations and some
indecomposible representations of the general linear Lie superalgebra gl (2/2) are …
indecomposible representations of the general linear Lie superalgebra gl (2/2) are …
Finite‐dimensional representations of the quantum superalgebra Uq[gl(2/2)]. I. Typical representations at generic q
NA Ky - Journal of Mathematical Physics, 1994 - pubs.aip.org
In the present paper all typical finite-dimensional representations of the quantum Lie
superalgebra U,[g1 (2/2)] are constructed at generic deformation parameter Q. As in the …
superalgebra U,[g1 (2/2)] are constructed at generic deformation parameter Q. As in the …
Duality for multiparameter quantum deformation of the supergroup GL (m/n)
VK Dobrev, EH Tahri - International Journal of Modern Physics A, 1998 - World Scientific
We find the Hopf superalgebra, which is in duality with the multiparameter quantum
deformation GL uq (m/n) of the supergroup GL (m/n). Naturally is a multiparameter …
deformation GL uq (m/n) of the supergroup GL (m/n). Naturally is a multiparameter …
Classification of the quantum deformations of the superalgebra GL (1| 1)
L Frappat, V Hussin, G Rideau - Journal of Physics A …, 1998 - iopscience.iop.org
We present a classification of the possible quantum deformations of the supergroup and its
Lie superalgebra. In each case, the (super) commutation relations and the Hopf structures …
Lie superalgebra. In each case, the (super) commutation relations and the Hopf structures …
[图书][B] Supersymmetry
VK Dobrev - 2018 - books.google.com
With applications in quantum field theory, general relativity and elementary particle physics,
this four-volume work studies the invariance of differential operators under Lie algebras …
this four-volume work studies the invariance of differential operators under Lie algebras …