Abstract
The differential and variational calculus on the SLq(2, R) group is constructed. The spontaneous breaking symmetry in the WZNW model with SLq(2, R) quantum group symmetry and in the σ-models with SLq(2, R)/Uh(1), Cq(2|0) quantum group symmetry is considered. The Lagrangian formalism over the quantum group manifolds is discussed. The classical solution of Cq(2|0) σ-model is obtained.
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© 1998 Springer-Verlag
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Gershun, V.D. (1998). 0) and infinitesimal transformations. In: Wess, J., Akulov, V.P. (eds) Supersymmetry and Quantum Field Theory. Lecture Notes in Physics, vol 509. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105263
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DOI: https://doi.org/10.1007/BFb0105263
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