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Stress-Tensor Commutator in CFT near the Lightcone
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abstract
Starting with the general stress-tensor commutation relations consistent with the Poincar\'e 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.
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Light cone OPE in a CFT with lowest twist scalar primary
In a unitary CFT with a lowest-twist scalar primary, the scalar contributes to the lightcone OPE only at subleading order, and no positive averaged operator analogous to the ANEC exists for a scalar integral.
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