The boundary sl3 Toda CFT satisfies local and global Ward identities for the stress tensor and the higher-spin W current, for all vertex operator weights in the Seiberg range.
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Higher-spin symmetry in the $\mathfrak{sl}_3$ boundary Toda conformal field theory I: Ward identities
The boundary sl3 Toda CFT satisfies local and global Ward identities for the stress tensor and the higher-spin W current, for all vertex operator weights in the Seiberg range.