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Expectation values of descendent fields in the Bullough-Dodd model and related perturbed conformal field theories

P. Baseilhac·M. Stanishkov
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Abstract

The exact vacuum expectation values of the second level descendent fields $<(\partialϕ)^2({\overline\partial}ϕ)^2e^{aϕ}>$ in the Bullough-Dodd model are calculated. By performing quantum group restrictions, we obtain $ $ in the $Φ_{12}$, $Φ_{21}$ and $Φ_{15}$ perturbed minimal CFTs. In particular, the exact expectation value $ $ is found to be proportional to the square of the bulk free energy.

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P. Baseilhac, M. Stanishkov. 2001-06-12. Expectation values of descendent fields in the Bullough-Dodd model and related perturbed conformal field theories. https://doi.org/10.1016/s0550-3213(01)00287-5

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