Example of the $4$-pt non-vacuum ${\mathcal{W}}_3$ classical block

Abstract

In this note, we study a special case of the $4$-pt non-vacuum classical block associated with the ${\mathcal{W}}_3$ algebra. We formulate the monodromy problem for the block and derive monodromy equations within the heavy-light approximation. Fixing the remaining functional arbitrariness using parameters of the $4$-pt vacuum ${\mathcal{W}}_3$ block, we compute the $4$-pt non-vacuum ${\mathcal{W}}_3$ block function.

V2: 18 pages, typos corrected, comments and references added

References in corpus (3)

• Correlation functions in conformal Toda field theory II
• Semi-classical Virasoro blocks: proof of exponentiation
• Generalized monodromy method in gauge/gravity duality

Cited by in corpus (1)

• Towards $W_3$ classical blocks with semi-degenerate operators