Reflection operator and hypergeometry II: $SL(2, \mathbb{C})$ spin chain
Reflection operator and hypergeometry II: $SL(2, \mathbb{C})$ spin chain
We consider noncompact open $SL(2, \mathbb{C})$ spin chain and construct eigenfunctions of $B$-element of monodromy matrix for the simplest case of the chain with one site. The reflection operator appearing in this construction can be used to express eigenfunction for $n$ sites in terms of the eigenfunction for $n-1$ sites, …