- A proof of the conformal collider bounds
- The Journal of High Energy Physics
- Volume | Issue number
- 2016 | 6
- Article number
- Number of pages
- Document type
- Faculty of Science (FNWI)
- Institute for Theoretical Physics Amsterdam (ITFA)
In this paper, we prove that the “conformal collider bounds” originally proposed in  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.
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