q-deformed Coxeter element in Non-simply-laced Affine Toda Field Theories
Takeshi Oota
Abstract
The Lie algebraic structures of the S-matrices for the affine Toda field theories based on the dual pairs (XN(1), YM(l)) are discussed. For the non-simply-laced horizontal subalgebra XN and the simply-laced horizontal subalgebra YM, we introduce a ``q-deformation'' of a Coxeter element and a ``p-deformation'' of a twisted Coxeter element respectively. Using these deformed objects, expressions for the generating function of the multiplicities of the building block of the S-matrices are obtained. The relation between the deformed version of Dorey's rule and generalized Dorey's rule due to Chari and Pressley are discussed.
Create a lesson
Related papers
Metric and dilaton information from high-overtone quasinormal modes of analytic Einstein-Maxwell-dilaton black holes
Yu Shi, Chikun Ding, Yuebing Zhou et al.
Out-of-time-order hydrodynamics and scrambling
Marta Bucca, Akash Jain, Márk Mezei et al.
About P-adic Numbers and Professor Igor Volovich on the Occasion of his 80th Anniversary
Paul H Frampton
A No-Go Theorem for Nonspherical Bounces with a Single Negative Mode
Guangshang Chen, Jianpeng Dai, Yang Xiao
Regular-Zero Drinfeld-Sokolov Charges in Doubled Four-Dimensional Chern-Simons Theory
Wentao Zeng, Yifan He, Xian Wu
A first order nonabelian antisymmetric tensor model with hidden higher symmetry
Peter D. Jarvis, Jean Thierry-Mieg