Smooth representations of the N=2 supersymmetric BMS algebra

Key Points

• Simple smooth modules exhibit properties of the N=2 supersymmetric BMS algebra, enhancing our understanding of its structure.
• This analysis reveals key classes of modules, influenced by finite-dimensional solvable Lie superalgebras, and contributes significantly to the existing literature.
• The exploration involved constructing various simple modules and determining their equivalence, demonstrating diverse applications in the supersymmetric framework.
• These findings highlight the relevance of smooth module theory in understanding invariant theories, underscoring its foundational role in advanced algebraic studies.