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

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.

14 pages

References in corpus (1)

• Exact s-Matrices for the Nonsimply-Laced Affine Toda Theories $a_{2n-1}^{(2)}$

Cited by in corpus (6)

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• Dynkin Diagrams and Integrable Models Based on Lie Superalgebras
• Classical Versus Quantum Symmetries for Toda Theories with a Nontrivial Boundary Perturbation
• On the perturbative expansion of boundary reflection factors of the supersymmetric sinh-Gordon model
• Quantum anomalies in A^{(1)}_r Toda theories with defects