Abstract
We show that a Hamiltonian reduction of affine Lie superalgebras having bosonic simple roots (such as OSp\(1|{\kern 1pt} 4\)) does produce supersymmetric Toda models, with superconformal symmetry being nonlinearly realized for those fields of the Toda system which are related to the bosonic simple roots of the superalgebra. A fermionic b-c system of conformal spin \({2}, - {\frac{1} {2}} \) is a natural ingredient of such models.
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Sorokin, D., Toppan, F. An \({n = \left( {1,1} \right)}\) Super-Toda Model Based on OSp \(1|{\kern 1pt} 4\) . Letters in Mathematical Physics 42, 139–152 (1997). https://doi.org/10.1023/A:1007396708587
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DOI: https://doi.org/10.1023/A:1007396708587