On the reality of spectra of ${\mathbf{U}}_{\mathbf{q}}(\mathbf{s}{\mathbf{l}}_2)$-invariant XXZ Hamiltonians

Alexi Morin-Duchesne, Jorgen Rasmussen, Philippe Ruelle +1

A new inner product is constructed on each standard module over the Temperley-Lieb algebra ${\mathsf{TL}}_n(\beta )$ for $\beta \in \mathbb{R}$ and $n\ge 2$. On these modules, the Hamiltonian…