Jordan blocks and the Bethe ansatz III: Class 5 model and its symmetries
arXiv:2309.10044 · doi:10.1016/j.nuclphysb.2023.116419
Abstract
We study the Hilbert space of the Class 5 model described in arXiv:1904.12005. Despite being integrable, neither its transfer matrix nor its Hamiltonian are diagonalisable, meaning that the usual Algebraic Bethe Ansatz does not provide the full Hilbert space. Instead, we make use of the symmetries of the model to construct the Jordan blocks of the transfer matrix. We also show that the Hamiltonian and the transfer matrix, despite commuting, do not have the same Jordan block structure.
arXiv comment20 pages; v2 significant changes in section 4 and appendix A
References in corpus (11)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Making Sense of Non-Hermitian Hamiltonians
- Non-Hermitian Physics
- New integrable non-gauge 4D QFTs from strongly deformed planar N=4 SYM
- Lectures on the Bethe Ansatz
- Yang-Baxter and the Boost: splitting the difference
- Classifying nearest-neighbour interactions and deformations of AdS
- Classifying integrable spin-1/2 chains with nearest neighbour interactions
- Solving and classifying the solutions of the Yang-Baxter equation through a differential approach. Two-state systems
- Combinatorial Solution of the Eclectic Spin Chain
- Jordan blocks and the Bethe ansatz II: The eclectic spin chain beyond