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

Vladimir Belavin; Xiangyu Cao; Benoit Estienne; Raoul Santachiara

doi:https://doi.org/10.1007/JHEP03(2017)008

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

Vladimir Belavin, Xiangyu Cao, Benoit Estienne, Raoul Santachiara

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	8
Journal	Journal of High Energy Physics
Volume	2017
Issue number	3
DOIs	https://doi.org/10.1007/JHEP03(2017)008
State	Published - 1 Mar 2017
Externally published	Yes

Keywords

Conformal and W Symmetry
Conformal Field Theory

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Access to Document

https://doi.org/10.1007/JHEP03(2017)008

Cite this

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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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AU - Belavin, Vladimir

AU - Cao, Xiangyu

AU - Estienne, Benoit

AU - Santachiara, Raoul

PY - 2017/3/1

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AB - 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.

KW - Conformal and W Symmetry

KW - Conformal Field Theory

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M3 - مقالة

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