Abstract
We introduce a new kind of non-relativistic \( \mathcal{N} \) = 8 supersymmetric mechanics, associated with worldline realizations of the supergroup SU(2|2) treated as a deformation of flat \( \mathcal{N} \) = 8, d=1 supersymmetry. Various worldline SU(2|2) superspaces are constructed as coset manifolds of this supergroup, and the corresponding superfield techniques are developed. For the off-shell SU(2|2) multiplets (3 , 8 , 5), (4 , 8 , 4) and (5 , 8 , 3), we construct and analyze the most general superfield and component actions. Common features are mass oscillator-type terms proportional to the deformation parameter and a trigonometric realization of the superconformal group OSp(4∗|4) in the conformal cases. For the simplest (5 , 8 , 3) model the quantization is performed.
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Ivanov, E., Lechtenfeld, O. & Sidorov, S. SU(2|2) supersymmetric mechanics. J. High Energ. Phys. 2016, 31 (2016). https://doi.org/10.1007/JHEP11(2016)031
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DOI: https://doi.org/10.1007/JHEP11(2016)031