\(C_2\) Toda theory in the reduced WZNW framework

DOI10.1142/S0217751X94002168zbMATH Open0985.81720arXivhep-th/9304019MaRDI QIDQ2775279

Z. Bajnok

Publication date: 26 February 2002

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Abstract: We consider the $C_2$ Toda theory in the reduced WZNW framework. Analysing the classical representation space of the symmetry algebra (which is the corresponding $C_2$ $W$ algebra) we determine its classical highest weight representations. We quantise the model promoting only the relevant quantities to operators. Using the quantised equation of motion we determine the selection rules for the $u$ field that corresponds to one of the Toda fields and give restrictions for its amplitude functions and for the structure of the Hilbert space of the model.

Full work available at URL: https://arxiv.org/abs/hep-th/9304019

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (5)

CONFORMALLY REDUCED WZNW THEORY, NEW EXTENDED CHIRAL ALGEBRAS AND THEIR ASSOCIATED TODA TYPE INTEGRABLE SYSTEMS ⋮ Title not available (Why is that?) ⋮ Path integral formulation of the conformal Wess-Zumino-Witten \(\to\) Toda reductions ⋮ Non-reductive WZW models and their CFTs. II: \(N=1\) and \(N=2\) cosets ⋮ Nonabelian Toda theories from parafermionic reductions of the WZW model

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