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Heterotic Toda fields
Institution:1. Department of Paediatrics, West China Second University Hospital, Sichuan University, Chengdu, Sichuan, China;2. Key Laboratory of Birth Defects and Related Diseases of Women and Children (Sichuan University), Ministry of Education, Chengdu, Sichuan, China;3. Department of Rehabilitation Medicine, West China Second University Hospital, Sichuan University, Chengdu, Sichuan, China;1. Department of Human Sciences, College of Education and Human Ecology, Columbus, Ohio;2. Department of Surgery, The Ohio State University, Wexner Medical Center, Columbus, Ohio
Abstract:A non-left-right symmetric conformal integrable Toda field theory is constructed. It is found that the conformal algebra for this model is the product of a left chiral Wr+1 algebra and a right chiral Wr+12 algebra. The general classical solution is constructed out of the chiral vectors satisfying the so-called classical exchange algebra. In addition, we derived an explicit Wronskian type solution in relation to the constrained WZNW theory. We also showed that the A limit of this model is precisely the (B2, C1) flow of the standard Toda lattice hierarchy.
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