On the third level descendent fields in the Bullough-Dodd model and its reductions

Abstract

Exact vacuum expectation values of the third level descendent fields $<(\partial \varphi {)}^3(\bar{\partial }\varphi {)}^3{e}^{a\varphi }>$ in the Bullough-Dodd model are proposed. By performing quantum group restrictions, we obtain $<L_{-3}{\bar{L}}_{-3}{\Phi }_{lk}>$ in perturbed minimal conformal field theories.

7 pages, LaTeX file with amssymb; to appear in Phys. Lett. B

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