Stress-Tensor Commutator in CFT near the Lightcone

Abstract

Starting with the general stress-tensor commutation relations consistent with the Poincaré algebra in local quantum field theory, we impose the tracelessness condition and focus on the dominating contributions in the lightcone limit. It is shown that, under a certain assumption on the Schwinger term, a Virasoro-algebra-like structure emerges near the lightcone in $d>2$ conformal field theories.

5 pp. V2: minor corrections, reference added

References in corpus (2)

• Universal Lowest-Twist in CFTs from Holography
• Light-ray Operators and the BMS Algebra

Cited by in corpus (21)

• Reparametrization modes, shadow operators, and quantum chaos in higher-dimensional CFTs
• Leading Multi-Stress Tensors and Conformal Bootstrap
• Light-ray operators, detectors and gravitational event shapes
• Heavy-light Bootstrap from Lorentzian Inversion Formula
• Thermal Stress Tensor Correlators, OPE and Holography
• Symmetry group at future null infinity I: Scalar theory
• Lightcone Commutator and Stress-Tensor Exchange in $d>2$ CFTs
• Near Lightcone Thermal Conformal Correlators and Holography
• On Local and Integrated Stress-Tensor Commutators
• Multi-stress tensors and next-to-leading singularities in the Regge limit
• $d>2$ Stress-Tensor OPE near a Line
• Global aspects of conformal symmetry and the ANEC in dS and AdS
• CFT correlators, $\mathcal{W}$-algebras and Generalized Catalan Numbers
• A Note on Commutation Relation in Conformal Field Theory
• Freedom near Lightcone and ANEC Saturation
• Approximate Symmetries in $d=4$ CFTs with an Einstein Gravity Dual
• More on Heavy-Light Bootstrap up to Double-Stress-Tensor
• Toward Null State Equations in $d>2$
• On the Stress Tensor Light-ray Operator Algebra
• Light cone OPE in a CFT with lowest twist scalar primary
• Notes on AdS-Schwarzschild eikonal phase