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4 papers · 2 filters
Integrability Test for Spin Chains
M. P. Grabowski, P. Mathieu
We examine a simple heuristic test of integrability for quantum chains. This test is applied to a variety of systems, including a generic isotropic spin-1 model with nearest-neighb…
Structure of the conservation laws in integrable spin chains with short range interactions
M. P. Grabowski, P. Mathieu
We present a detailed analysis of the structure of the conservation laws in quantum integrable chains of the XYZ-type and in the Hubbard model. With the use of the boost operator,…
Quantum Integrals of Motion for the Heisenberg Spin Chain
Marek P. Grabowski, Pierre Mathieu
An explicit expression for all the quantum integrals of motion for the isotropic Heisenberg spin chain is presented. The conserved quantities are expressed in terms of a su…
The Rank four Heterotic Modular Invariant Partition Functions
T. Gannon, Q. Ho-Kim
In this paper, we develop several general techniques to investigate modular invariants of conformal field theories whose algebras of the holomorphic and anti-holomorphic sectors ar…