Braid Actions on Quantum Affine Superalgebras

Quantum affine algebras have two key realizations: the Drinfeld-Jimbo realization and the "new" Drinfeld realization. The equivalence between these two structures was established for algebras using two equivalent presentations of the corresponding extended affine braid group.

** However, extending this framework to quantum affine superalgebrasintroduces additional complexities. In particular, the corresponding braid group is too small to capture the full structure. Instead, an action groupoid arises, where the different parity choices are taken into account. **

行内公式：$E = mc^2$

显示公式：$\int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi}$

In this talk, we will explore the action groupoids associated with quantum affine superalgebras of types A and B and discuss their role in establishing the equivalence of the two realizations in the superalgebra context.