A proof of the conformal collider bounds

DOI10.1007/JHEP06(2016)111zbMATH Open1388.81048arXiv1603.03771WikidataQ59711961 ScholiaQ59711961MaRDI QIDQ1638810

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Publication date: 12 June 2018

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Abstract: In this paper, we prove that the "conformal collider bounds" originally proposed by Hofman and Maldacena hold for any unitary parity-preserving conformal field theory (CFT) with a unique stress tensor in spacetime dimensions larger than 2. In particular this implies that the ratio of central charges for a unitary 4d CFT lies in the interval $frac3118geqfracacgeqfrac13$. For superconformal theories this is further reduced to $frac32geqfracacgeqfrac12$. 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.

Full work available at URL: https://arxiv.org/abs/1603.03771

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