A proof of the conformal collider bounds

作者：Hofman Diego M; Li Daliang; Meltzer David; Poland David; Rejon Barrera Fernando

来源：The Journal of High Energy Physics, 2016, 2016(6): 111.

DOI：10.1007/JHEP06(2016)111

• AdS-CFT Correspondence
• Conformal and W Symmetry
• Field Theories in
• Higher Dimensions
• Nonperturbative Effects

In this paper, we prove that the "conformal collider bounds" originally proposed in [1] hold for any unitary parity -preserving conformal field theory (CFT) with a unique stress tensor in dimensions d >= 3. In particular this implies that the ratio of central charges for a unitary 4d CFT lies in the interval 31/18 >= a/c >= 1/3. For superconformal theories this is further reduced to 3/2 >= a/c >= 1/2. The proof relies only on CFT first principles in particular, bootstrap methods and thus constitutes the first complete field theory proof of these bounds. We further elaborate on similar bounds for non -conserved currents and relate them to results obtained recently from deep inelastic scattering.

• 出版日期2016-6-20