TY - JOUR
T1 - Second level semi-degenerate fields in W3 Toda theory
T2 - matrix element and differential equation
AU - Belavin, Vladimir
AU - Cao, Xiangyu
AU - Estienne, Benoit
AU - Santachiara, Raoul
N1 - Publisher Copyright:
© 2017, The Author(s).
PY - 2017/3/1
Y1 - 2017/3/1
N2 - 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.
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 Field Theory
KW - Conformal and W Symmetry
UR - http://www.scopus.com/inward/record.url?scp=85014644911&partnerID=8YFLogxK
U2 - 10.1007/JHEP03(2017)008
DO - 10.1007/JHEP03(2017)008
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AN - SCOPUS:85014644911
SN - 1126-6708
VL - 2017
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 3
M1 - 8
ER -