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Towards W3 classical blocks with semi-degenerate operators
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DOI：10.1016/j.nuclphysb.2026.117568.png)
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Abstract
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We consider 4-point W3 classical blocks focusing on the blocks level-1 and level-2 semi-degenerate operators. We derive BPZ-type equations for the auxiliary 5-point blocks with one additional fully degenerate operator. The monodromy properties of these equations are encoded by the accessory parameters, related to the 4-point W3 classical blocks. We solve the BPZ-type equations via heavy-light perturbation theory and find the accessory parameters, which allows us to obtain the explicit expressions for the considered class of classical blocks.
Keywords:
2D conformal field theory
Conformal blocks
W_3 algebra
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