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

Abstract

In this note we study CFT${}_2$ Virasoro conformal blocks with heavy operators in the large-$c$ limit in the context of AdS${}_3$/CFT${}_2$ correspondence. We compute the lengths of the holographic Steiner trees dual to the $5$-point and $6$-point conformal blocks using the superlight approximation when one or more dimensions are much less than the others. These results are generalized for $N$-point holographic Steiner trees dual to $(N+1)$-point conformal blocks with superlight weights.

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

References in corpus (5)

• Entanglement Entropy at Large Central Charge
• Holographic dual of the five-point conformal block
• Semi-classical Virasoro blocks: proof of exponentiation
• Many-point classical conformal blocks and geodesic networks on the hyperbolic plane
• Geodesic description of Heavy-Light Virasoro blocks

Cited by in corpus (2)

• Towards $W_3$ classical blocks with semi-degenerate operators
• Differential equations for classical Virasoro blocks with heavy and light operators