Derives Ishibashi states and explicit disk two-point functions for boundary rational QDS W[g-hat](p,p') minimal models via free bosonic fields and Coulomb-gas integrals.
Some aspects of free field resolutions in 2D CFT with application to the quantum Drinfeld-Sokolov reduction
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abstract
We review some aspects of the free field approach to two-dimensional conformal field theories. Specifically, we discuss the construction of free field resolutions for the integrable highest weight modules of untwisted affine Kac-Moody algebras, and extend the construction to a certain class of admissible highest weight modules. Using these, we construct resolutions of the completely degenerate highest weight modules of W-algebras by means of the quantum Drinfeld-Sokolov reduction. As a corollary we derive character formulae for these degenerate highest weight modules.
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Free-field approaches to boundary $\mathcal{W} \big[ \widehat{g} \big] (p,p') $ minimal models
Derives Ishibashi states and explicit disk two-point functions for boundary rational QDS W[g-hat](p,p') minimal models via free bosonic fields and Coulomb-gas integrals.