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arXiv · hep-th/9205045

Supersymmetric, Integrable Toda Field Theories: The B(1,1) Model

Silvia Penati·Daniela Zanon
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Abstract

We study the two-dimensional supersymmetric Toda theory based on the Lie superalgebra $B(1,1) \equiv Osp(3|2)$ and construct its quantum W-currents. We also investigate the fermionic affinization of this model: we show that despite the non-unitary form of the Lagrangian the $B^{(1)}(1,1)$ theory has a real particle mass spectrum which is not renormalized at one-loop. We construct the first higher--spin conserved current, prove its conservation to all-loop order, compute one-loop corrections to the corresponding charge and check consistency between charge and mass renormalization.

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Silvia Penati, Daniela Zanon. 1992-05-15. Supersymmetric, Integrable Toda Field Theories: The B(1,1) Model. https://doi.org/10.1016/0370-2693(92)91107-k

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