Outputs (3)

Lifting integrable models and long-range interactions (2023)
Journal Article
de Leeuw, M., & Retore, A. L. (2023). Lifting integrable models and long-range interactions. SciPost Physics, 15(6), Article 241. https://doi.org/10.21468/scipostphys.15.6.241

In this paper we discuss a constructive approach to check whether a constant Hamiltonian is Yang-Baxter integrable. We then apply our method to long-range interactions and find the Lax operator and R-matrix of the three-loop SU(2) sector in N=4 SYM.... Read More about Lifting integrable models and long-range interactions.

The D 3 2 spin chain and its finite-size spectrum (2023)
Journal Article
Frahm, H., Gehrmann, S., Nepomechie, R. I., & Retore, A. L. (2023). The D 3 2 spin chain and its finite-size spectrum. Journal of High Energy Physics, 2023(11), Article 95. https://doi.org/10.1007/jhep11%282023%29095

Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-periodic D32 spin chain. Supported by a detailed symmetry analysis, we determine the effective scaling dimensions of a large class of states in the parameter regim... Read More about The D 3 2 spin chain and its finite-size spectrum.

Flag integrable models and generalized graded algebras (2023)
Journal Article
de Leeuw, M., Nepomechie, R. I., & Retore, A. L. (2023). Flag integrable models and generalized graded algebras. Journal of High Energy Physics, 2023(6), Article 113. https://doi.org/10.1007/jhep06%282023%29113

We introduce new classes of integrable models that exhibit a structure similar to that of flag vector spaces. We present their Hamiltonians, R-matrices and Bethe-ansatz solutions. These models have a new type of generalized graded algebra symmetry.