Off-critical lattice analogues of N = 2 supersymmetric quantum integrable models

1993/07/22 by D. Nemeschansky, N. P. Warner, N.P. Warner
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat #hep-th

paper · pdf · doi:10.1016/0550-3213(94)90005-1

published as Nucl.Phys. B413 (1994) 629-652 · 27 pages and 2 figures, harvmac

arxiv created 1993/07/22 · openalex publication_date 1994/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We obtain off-critical (elliptic) Boltzmann weights for lattice models whose continuum limits correspond to massive, N=2 supersymmetric, quantum integrable field theories. We also compute the free energies of these models and show that they are analytic in the region of parameter space where we believe that the supersymmetry is unbroken. While the supersymmetry is not directly realized on the lattice, there is still a very close connection between the models described here and topological lattice models. A simple example is discussed in detail and some corner transfer matrix computations are also presented.

Citations

• Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. I. Some fundamental eigenvectors
• A new supersymmetric index
• Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. III. Eigenvectors of the transfer matrix and hamiltonian
• G/G topological field theories by cosetting G
• Integrable N = 2 supersymmetric field theories