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Article Dans Une Revue Journal of High Energy Physics Année : 2017

Second level semi-degenerate fields in W3 Toda theory: matrix element and differential equation

Résumé

In a recent study we considered W3 Toda 4-point functions that involve matrix elements of a primary field with the highest-weight in the adjoint representation of sl3. We generalize this result by considering a semi-degenerate primary field, which has one null vector at level two. We obtain a sixth-order Fuchsian differential equation for the conformal blocks. We discuss the presence of multiplicities, the matrix elements and the fusion rules.

Dates et versions

hal-01522055 , version 1 (12-05-2017)

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Vladimir Belavin, Xiangyu Cao, Benoit Estienne, Raoul Santachiara. Second level semi-degenerate fields in W3 Toda theory: matrix element and differential equation. Journal of High Energy Physics, 2017, 3, pp.008. ⟨hal-01522055⟩
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