Quantum groups and WZNW models
نویسندگان
چکیده
منابع مشابه
Superstrings and WZNW Models
In a series of papers [1] we have presented a new approach to the old problem of the covariant quantization of the superstring. The fields of the classical superstring are x(z, z̄) and two (i=1,2) spacetime spinors θ(z, z̄) where m = 0, . . . , 9 is a vector index and α = 1, . . . , 16 the index of a real chiral spinor. A natural choice as action might seem to be the supersymmetric line element S...
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The SL(2, R) WZNW → Liouville reduction leads to a nontrivial phase space on the classical level both in 0 + 1 and 1 + 1 dimensions. To study the consequences in the quantum theory, the quantum mechanics of the 0 + 1 dimensional, point particle version of the constrained WZNW model is investigated. The spectrum and the eigenfunctions of the obtained—rather nontrivial—theory are given, and the p...
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We present a new development in our approach to the covariant quantization of superstrings in 10 dimensions which is based on a gauged WZNW model. The WZNW action reduces to our earlier free-field quantum action after a field redefinition, and to the GreenSchwarz classical action after constraining the current in Berkovits’ BRST charge to vanish. Physical states form the cohomology of a BRST ch...
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We construct symmetric and exterior powers of the vector representation of the elliptic quantum groups Eτ,η(glN). The corresponding transfer matrices give rise to various integrable difference equations which could be solved in principle by the nested Bethe ansatz method. In special cases we recover the Ruijsenaars systems of commuting difference operators.
متن کاملSolvable Lattice Models and Quantum Groups
Our main concern in this survey is the following question. What is the rôle of quantum groups in solvable lattice models; more specifically, what is their rôle in building models and in solving models respectively? Building models amounts to constructing solutions to the Yang-Baxter equation (YBE). Through the development of the last 4-5 years, the situation has been clarified relatively well. ...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1990
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02097372