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arXiv · 1610.07993

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

Vladimir Belavin·Xiangyu Cao·Benoit Estienne·Raoul Santachiara
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Abstract

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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Vladimir Belavin, Xiangyu Cao, Benoit Estienne, Raoul Santachiara. 2017-03-07. Second level semi-degenerate fields in W3 Toda theory: matrix element and differential equation. https://doi.org/10.1007/jhep03(2017)008

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