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

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

2001-04-25

arxiv.org/abs/hep-th/0104220v2

Nucl.Phys. B612 (2001) 373-390

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX file with amssymb, v2:references added. To appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(01)00287-5

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

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