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

TL;DR

This paper derives exact vacuum expectation values for third level descendant fields in the Bullough-Dodd model and its reductions, connecting them to perturbed minimal conformal field theories through quantum group restrictions.

Contribution

It provides explicit formulas for third level descendant fields' vacuum expectation values and links these to perturbed minimal models via quantum group techniques.

Findings

Exact vacuum expectation values for third level descendant fields are proposed.

Quantum group restrictions relate these values to perturbed minimal conformal field theories.

The results deepen understanding of field interactions in integrable models.

Abstract

Exact vacuum expectation values of the third level descendent fields $<(\partial\phi)^3({\bar\partial}\phi)^3e^{a\phi}>$ 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.