English

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

High Energy Physics - Theory 2023-07-25 v2

Abstract

In this note, we study a special case of the 44-pt non-vacuum classical block associated with the W3\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 44-pt vacuum W3\mathcal{W}_3 block, we compute the 44-pt non-vacuum W3\mathcal{W}_3 block function.

Keywords

Cite

@article{arxiv.2205.06208,
  title  = {Example of the $4$-pt non-vacuum $\mathcal{W}_3$ classical block},
  author = {Mikhail Pavlov},
  journal= {arXiv preprint arXiv:2205.06208},
  year   = {2023}
}

Comments

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