On rational R-matrices with adjoint SU(n) symmetry
Laurens Stronks, Johan van de Leur, Dirk Schuricht
TL;DR
This paper constructs a rational R-matrix with adjoint SU(n) symmetry using Yangian representation theory, leading to an integrable spin chain model that exhibits non-Hermitian Hamiltonian properties.
Contribution
It introduces a new rational R-matrix with adjoint SU(n) symmetry and derives an associated integrable spin chain model.
Findings
Constructed the rational R-matrix with adjoint SU(n) symmetry.
Derived an integrable SU(n) spin chain from the R-matrix.
Found the Hamiltonian to be non-Hermitian.
Abstract
Using the representation theory of Yangians we construct the rational R-matrix which takes values in the adjoint representation of SU(n). From this we derive an integrable SU(n) spin chain with lattice spins transforming under the adjoint representation. However, the resulting Hamiltonian is found to be non-Hermitian.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.