English

Large-$c$ conformal $(n \leq 6)$-point blocks with superlight weights and holographic Steiner trees

High Energy Physics - Theory 2021-04-20 v3

Abstract

In this note we study CFT2_2 Virasoro conformal blocks with heavy operators in the large-cc limit in the context of AdS3_3/CFT2_2 correspondence. We compute the lengths of the holographic Steiner trees dual to the 55-point and 66-point conformal blocks using the superlight approximation when one or more dimensions are much less than the others. These results are generalized for NN-point holographic Steiner trees dual to (N+1)(N+1)-point conformal blocks with superlight weights.

Keywords

Cite

@article{arxiv.2101.04513,
  title  = {Large-$c$ conformal $(n \leq 6)$-point blocks with superlight weights and holographic Steiner trees},
  author = {Mikhail Pavlov},
  journal= {arXiv preprint arXiv:2101.04513},
  year   = {2021}
}

Comments

20 pages, 9 figures, V2: misprints corrected, comments and references added, V3: more explanations and clarifying comments, typos corrected