Integrable vector perturbations of W-invariant theories and their quantum group symmetry

Abstract

Perturbations of $W{D}_n$ and $W_3$ conformal theories which generalize the $(1,2)$ perturbations of conformal minimal models are shown to be integrable by counting argument. $A_{2n-1,q}^{(2)}$ and $D_{4,q}^{(3)}$ symmetries of corresponding S-matrices are conjectured and proved by explicit construction of conserved nonlocal charges in the $W{D}_3$ case with the proper quantum group of symmetry.

Latex file. 18 pages. (Final part was changed)

References in corpus (1)

• Foundations of Rational Quantum Field Theory, I

Cited by in corpus (3)

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• Exact S-matrices for d_{n+1}^{(2)} affine Toda solitons and their bound states
• Quantum mass corrections for affine Toda solitons