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

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arxiv 1610.07993 v2 pith:TTBTNFTE submitted 2016-10-25 hep-th

Vladimir Belavin , Xiangyu Cao , Benoit Estienne , Raoul Santachiara This is my paper · ORCID
classification hep-th
keywords matrixdifferentialelementsequationfieldlevelprimarysemi-degenerate
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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.

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  1. Towards $W_3$ classical blocks with semi-degenerate operators

    hep-th 2025-12 conditional novelty 5.0 of 10

    Explicit heavy-light accessory parameters and classical W3 blocks are obtained for 4-point blocks with level-1 and level-2 semi-degenerate operators, including one non-identity intermediate channel.

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