Correlation functions in conformal Toda field theory. I

DOI10.1088/1126-6708/2007/11/002zbMath1245.81237arXiv0709.3806OpenAlexW3105669639MaRDI QIDQ445780

Publication date: 26 August 2012

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.3806

zbMATH Keywords

two-dimensional ${sl}(n)$ quantum Toda field theory

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Groups and algebras in quantum theory and relations with integrable systems (81R12)

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Cites Work