Semi-classical Virasoro blocks: proof of exponentiation

Abstract

Virasoro conformal blocks are expected to exponentiate in the limit of large central charge $c$ and large operator dimensions $h_i$, with the ratios $h_i/c$ held fixed. We prove this by employing the oscillator formulation of the Virasoro algebra and its representations. The techniques developed are then used to provide new derivations of some standard results on conformal blocks.

18 pages

References in corpus (2)

• Entanglement Entropy at Large Central Charge
• Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches

Cited by in corpus (5)

• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Bootstrapping closed string field theory
• Resurgence, Conformal Blocks, and the Sum over Geometries in Quantum Gravity
• Semi-classical BMS-blocks from the Oscillator Construction
• Large-$c$ conformal $(n\le 6)$-point blocks with superlight weights and holographic Steiner trees