Combinatorial Formulae for Nested Bethe Vectors

Abstract

We give combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for tensor products of irreducible evaluation modules over the Yangian $Y({mathfrak{gl}}_N)$ and the quantum affine algebra~$U_q(widetilde{{mathfrak{gl}}_N})$.

Keywords

• weight functions
• nested Bethe vectors
• algebraic Bethe ansatz