Note on Centrally Extended su(2/2) and Serre Relations

Abstract

We point out that the nontrivial central extension of the superalgebra $su(2/2)$ is related to the some not so well-known Serre relations.

6 pages, LATEX, v2: added references; v3: small changes and added reference

References in corpus (3)

• The su(2|2) Dynamic S-Matrix
• Quantum Deformations of the One-Dimensional Hubbard Model
• Defining Relations for Lie Superalgebras with Cartan matrix

Cited by in corpus (7)

• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• Yangians, S-matrices and AdS/CFT
• Secret Symmetries in AdS/CFT
• Representations of centrally extended Lie superalgebra $\mathfrak{psl}(2|2)$
• $q$-Poincaré supersymmetry in $Ad{S}_5/CF{T}_4$
• Drinfeld realization of the centrally extended $\mathfrak{psl}(2|2)$ Yangian algebra with the manifest coproducts
• Complex D($2,1;\zeta$) and spin chain solutions from Chern-Simons theory