ar X iv : h ep - t h / 92 04 08 6 v 1 2 7 A pr 1 99 2 19 / 92 March 1992 Quantum Group σ Models
نویسندگان
چکیده
Field-theoretic models for fields taking values in quantum groups are investigated. First we consider SU q (2) σ model (q real) expressed in terms of basic notions of noncommutative differential geometry. We discuss the case in which the σ models fields are represented as products of conventional σ fields and of the coordinate-independent algebra. An explicit example is provided by the U q (2) σ model with q N = 1, in which case quantum matrices U q (2) are realised as 2N × 2N unitary matrices. Open problems are pointed out.
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