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

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