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

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

1992-05-15

arxiv.org/abs/hep-th/9205045v1

Phys.Lett. B288 (1992) 297-305

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

10.1016/0370-2693(92)91107-K

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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