$σ$-models on the quantum group manifolds $SL_{q}(2,R)$, $SL_{q}(2,R)/U_{h}(1)$, $C_{q}(2|0)$ and infinitesimal trasformations

V. D. Gershun

doi:10.1007/BFb0105263

paper

$σ$ -models on the quantum group manifolds $S L_{q} (2, R)$ , $S L_{q} (2, R) / U_{h} (1)$ , $C_{q} (2∣0)$ and infinitesimal trasformations

arXiv:q-alg/9709022 · doi:10.1007/BFb0105263

Abstract

The differential and variational calculus on the $S L_{q} (2, R)$ group is constructed. The spontaneous breaking symmetry in the WZNW model with $S L_{q} (2, R)$ quantum group symmetry and in the $σ$ -models with $S L_{q} (2, R) / U_{h} (1)$ , $C_{q} (2∣0)$ quantum group symmetry is considered. The Lagrangian formalism over the quantum group manifolds is discussed. The classical solution of $C_{q} (2∣0)$ { $σ$ }-model is obtained.

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References in corpus (1)

Quantum Group $σ$ Models

σ-models on the quantum group manifolds SLq​(2,R), SLq​(2,R)/Uh​(1), Cq​(2∣0) and infinitesimal trasformations

Abstract

References in corpus (1)

$σ$ -models on the quantum group manifolds $S L_{q} (2, R)$ , $S L_{q} (2, R) / U_{h} (1)$ , $C_{q} (2∣0)$ and infinitesimal trasformations