6D large charge and 2D Virasoro blocks
Year: 2025
Type: article
Abstract: We compute observables in the interacting rank-one 6D N = ( 2 , 0 ) superconformal field theory (SCFT) at large R -charge. We focus on correlators involving Φ n , namely symmetric products of the bottom component of the supermultiplet containing the stress tensor. By using the moduli space effective action and methods from the large-charge expansion, we compute the operator product expansion coefficients ⟨ Φ n Φ m Φ n + m ⟩ in an expansion in 1 / n . The coefficients of the expansion are only partially determined from the 6D perspective, but we manage to fix them order-by-order in 1 / n numerically by utilizing the 6 D / 2 D correspondence. This is made possible by the fact that this 6D observable can be extracted in 2D from a specific double-scaling limit of the vacuum Virasoro block, which can be efficiently computed numerically. We also extend the computation to higher-rank SCFTs, and discuss various applications of our results to 6D as well as 2D.
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4407156735