Example of 4-pt non-vacuum W3 classical block

In this note we study a special case of the 4-pt non-vacuum classical block associated with the W3 algebra. We formulate the monodromy problem for the block and derive monodromy equations within heavy-light approximation. Fixing the remaining functional arbitrariness using parameters of the 4-pt vacuum W3 block, we compute the 4-pt non-vacuum W3 block function.(c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.

Automated summary

In this article, we examine a specific instance of the 4-pt non-vacuum classical block associated with the W3 algebra. We establish the monodromy problem for the block and derive the monodromy equations in the heavy-light approximation. By utilizing the parameters of the 4-pt vacuum W3 block to fix the remaining functional arbitrariness, we calculate the 4-pt non-vacuum W3 block function.