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Lightcone Commutator and Stress-Tensor Exchange in $d>2$ CFTs
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abstract
Motivated by developing a field-theoretic algebraic approach to the universal part of the stress-tensor sector of a scalar four-point function in a class of higher-dimensional CFTs, we construct a mode operator, ${\cal L}_m$, near the lightcone in $d=4$ CFTs and show that it leads to a Virasoro-like commutator, including a regularized central-term. As an example, we describe how to reproduce the $d=4$ single-stress tensor exchange contribution in the lightcone limit by a mode summation. A general-$d$ extension is included. We comment on possible generalizations.
Forward citations
Cited by 2 Pith papers
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Infinite Symmetry Algebras in Four-Dimensional Conformal Field Theories
Universal light-ray operators from the stress tensor generate the wedge subalgebra of w_{1+∞} in generic interacting 4D CFTs, with finite one-point functions matching the full tower of soft graviton and gluon factors.
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Thermal Correlators and Black Holes: From Infinity to Singularity
The stress-tensor part of thermal correlators develops complex-time singularities at exactly the locations where bulk geodesics reflect off the black hole singularity, and in Gauss-Bonnet holography ANEC saturation ma...
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