Bethe ansatz solvability and supersymmetry of the M2 model of single fermions and pairs
(2014) Journal of Physics A: Mathematical and Theoretical — Vol. 47, n° 48 (2014)
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- Abstract
- A detailed study of a model for strongly-interacting fermions with exclusion rules and lattice N = 2 supersymmetry is presented. A submanifold in the space of parameters of the model where it is Bethe-ansatz solvable is identified. The relation between this manifold and the existence of additional, socalled dynamic, supersymmetries is discussed. The ground states are analysed with the help of cohomology techniques, and their exact finite-size Bethe roots are found. Moreover, through analytical and numerical studies it is argued that the model provides a lattice version of the N = 1 super-sine-Gordon model at a particular coupling where an additional N = (2, 2) supersymmetry is present. The dynamic supersymmetry is shown to allow an exact determination of the gap scaling function of the model.
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Walmsley Hagendorf, C., Huijse, L., & Fokkema, T. B. (2014). Bethe ansatz solvability and supersymmetry of the M2 model of single fermions and pairs. Journal of Physics A: Mathematical and Theoretical, 47(48). https://doi.org/10.1088/1751-8113/47/48/485201 (Original work published 2014)