Boosts superalgebras based on centrally-extended su(1|1)^2

Abstract

In this paper, we studied the boost operator in the setting of su(1|1)^2. We find a family of different algebras where such an operator can consistently appear, which we classify according to how the two copies of the su(1|1)^2 interact with each other. Finally, we construct coproduct maps for each of these algebras and discuss the algebraic relationships among them.

arXiv comment22 pages, 1 figure; v2: comments added and typos fixed

References in corpus (7)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• A dynamic su(1|1)^2 S-matrix for AdS3/CFT2
• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• The Quantum Deformed Mirror TBA I
• Quantum deformations of the flat space superstring
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• Yangian of AdS3/CFT2 and its deformation