Infinite towers of 2d symmetry algebras from Carrollian limit of 3d CFT

2025/08/27 by de Gioia, Leonardo Pipolo, Raclariu, Ana-Maria · 3 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2508.19981

Abstract

We consider the Carrollian limit of OPE blocks of scalar primaries, spin-1 currents and the stress tensor in 3-dimensional conformal field theory (CFT₃). We demonstrate that these OPE blocks decompose into OPE blocks of towers of \mathfraksl(2,ℂ) modes labeled by negative integer dimensions. We present two applications of this construction. We first show that the current-scalar-scalar and stress tensor-scalar-scalar OPE blocks in CFT₃ reduce to \mathfraksl(2,ℂ) OPE blocks from which towers of conformally soft photon and graviton theorems can be derived. We then show that the CFT₃ OPE blocks of, respectively, current and stress tensor components dual to positive helicity gluons and gravitons in AdS₄ become \mathfraksl(2,ℂ) blocks of conformally soft gluons and gravitons which imply the S and w_{1 + ∞} algebras of celestial CFT.

Citations

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Cited by

• Null quantization, shadows and boost eigenfunctions in Lorentzian AdS
• From AdS correlators to Carrollian amplitudes with the scattering equation
• Lectures on Carrollian Holography

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• Celestial Sector in CFT: Conformally Soft Symmetries
• w_1+∞ and Carrollian Holography
• Virasoro OPE Blocks, Causal Diamonds, and Higher-Dimensional CFT
• 3D Stress Tensor for Gravity in 4D Flat Spacetime
• Worldline approach to semi-classical conformal blocks