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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

Perturbations of $WD_n$ 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 $WD_3$ case with the proper quantum group of symmetry.

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