Stress-tensor commutators in conformal field theories near the lightcone

Kuo-Wei Huang
2019 Physical Review D  
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.
doi:10.1103/physrevd.100.061701 fatcat:yunmao7l7zagtmlc3p54ri2bvq