The $A_m^{(1)}$ Q-system

Abstract

We propose a Q-system for the $A_m^{(1)}$ quantum integrable spin chain. We also find compact determinant expressions for all the Q-functions, both for the rational and trigonometric cases.

13 pages, v2: references added, and appendix removed; v3: more references added, version to appear in Int. J. Mod. Phys. Lett. A

References in corpus (5)

• Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
• Quasi-polynomials and the Bethe Ansatz
• On Generalized $Q$-systems
• Q-systems with boundary parameters
• Cylinder partition function of the 6-vertex model from algebraic geometry

Cited by in corpus (7)

• QQ-system and Weyl-type transfer matrices in integrable SO(2r) spin chains
• Rational $Q$-systems, Higgsing and Mirror Symmetry
• Spin-$s$ Rational $Q$-system
• Quantum groups and functional relations for arbitrary rank
• Rational Q-systems at Root of Unity I. Closed Chains
• Exact Spin Correlators of Integrable Quantum Circuits from Algebraic Geometry
• Spin-$s$ $Q$-systems: Twist and Open Boundaries