In this paper, we would like to study operator reconstruction in a class of
holographic tensor networks describing renormalization group flows studied in
arXiv:2210.12127. We study examples of 2d bulk holographic tensor networks
constructed from Dijkgraaf-Witten theories and found that for both
Znβ group and S3β group the number of bulk operators behaving like
a generalized free field in the bulk scales as the order of the group. We also
generalize our study to 3d bulks and found the same scaling for Znβ
theories. However, there is no generalized free field when the bulk comes from
more generic fusion categories such as the Fibonacci model.Comment: 11 pages, 3 figure