Free Fermionic Elliptic Reflection Matrices and Quantum Group Invariance
R.Cuerno, A. Gonz\'alez--Ruiz
TL;DR
This paper constructs elliptic reflection matrices for the eight vertex free fermion model, linking them to an XY Hamiltonian with quantum group symmetry, advancing understanding of integrable quantum systems.
Contribution
It introduces new elliptic reflection matrices for the eight vertex free fermion model and connects them to quantum group invariance of the associated Hamiltonian.
Findings
Elliptic diagonal solutions for reflection matrices are explicitly constructed.
The derived XY Hamiltonian exhibits invariance under a quantum deformed Clifford--Hopf algebra.
The work links elliptic solutions to quantum group symmetries in integrable models.
Abstract
Elliptic diagonal solutions for the reflection matrices associated to the elliptic matrix of the eight vertex free fermion model are presented. They lead through the second derivative of the open chain transfer matrix to an XY hamiltonian in a magnetic field which is invariant under a quantum deformed Clifford--Hopf algebra.
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