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We propose an alternative understanding of the relationship between massiveand massless magnonic TBA systems, using the T-duality symmetries of theHomogeneous sine-Gordon models. This is shown to be in agreement with aprevious treatment by Dorey, Dunning and Tateo, based on the properties ofY-systems.Comment: 17 pages, uses JHEP style. Refs. added. Version to be published in  JSTA

A T-duality interpretation of the relationship between massive and massless magnonic thermodynamic Bethe ansatz systems