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arXiv · 1312.6821

Super K\"ahler oscillator from SU(2|1) superspace

E. Ivanov·S. Sidorov
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Abstract

We construct a new version of the worldline SU(2|1) superspace as a deformation of the standard N =4, d=1 superspace and show that it naturally provides off- and on-shell description of general supersymmetric K\"ahler oscillator model considered earlier at the classical level within the Hamiltonian approach. The basic object is a generalized chiral SU(2|1), d=1 superfield with the off-shell field content (2, 4, 2). The frequency of the oscillator and the strength of external magnetic field are defined by two parameters: the contraction parameter $m$ and the new parameter $\lambda$ which reflects the freedom in defining the chiral SU(2|1), d=1 superspace. We treat both classical and quantum cases.

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E. Ivanov, S. Sidorov. 2013-12-24. Super K\"ahler oscillator from SU(2|1) superspace. https://doi.org/10.1088/1751-8113%2F47%2F29%2F292002

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