# Higher spin ANEC and the space of CFTs

@article{Meltzer2018HigherSA,
title={Higher spin ANEC and the space of CFTs},
author={David Meltzer},
journal={Journal of High Energy Physics},
year={2018},
volume={2019},
pages={1-43}
}
A bstractWe study the positivity properties of the leading Regge trajectory in higher-dimensional, unitary, conformal field theories (CFTs). These conditions correspond to higher spin generalizations of the averaged null energy condition (ANEC). By studying higher spin ANEC, we will derive new bounds on the dimensions of charged, spinning operators and prove that if the Hofman-Maldacena bounds are saturated, then the theory has a higher spin symmetry. We also derive new, general bounds on CFTs… Expand
20 Citations

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#### References

SHOWING 1-10 OF 89 REFERENCES
A conformal collider for holographic CFTs
• Physics
• 2018
A bstractWe develop a formalism to study the implications of causality on OPE coefficients in conformal field theories with large central charge and a sparse spectrum of higher spin operators. TheExpand
Convexity and liberation at large spin
• Physics
• 2012
A bstractWe consider several aspects of unitary higher-dimensional conformal field theories (CFTs). We first study massive deformations that trigger a flow to a gapped phase. Deep inelasticExpand
On the uniqueness of higher-spin symmetries in AdS and CFT
• Physics
• 2013
We study the uniqueness of higher-spin algebras which are at the core of higher-spin theories in AdS and of CFTs with exact higher-spin symmetry, i.e. conserved tensors of rank greater than two. TheExpand
Conformal bootstrap in the Regge limit
• Physics
• 2017
A bstractWe analytically solve the conformal bootstrap equations in the Regge limit for large N conformal field theories. For theories with a parametrically large gap, the amplitude is dominated byExpand
An algebraic approach to the analytic bootstrap
• Physics
• 2015
A bstractWe develop an algebraic approach to the analytic bootstrap in CFTs. By acting with the Casimir operator on the crossing equation we map the problem of doing large spin sums to any desiredExpand
The lightcone bootstrap and the spectrum of the 3d Ising CFT
We compute numerically the dimensions and OPE coefficients of several operators in the 3d Ising CFT, and then try to reverse-engineer the solution to crossing symmetry analytically. Our key tool is aExpand
Analyticity in spin in conformal theories
A bstractConformal theory correlators are characterized by the spectrum and three-point functions of local operators. We present a formula which extracts this data as an analytic function of spin. InExpand
Conformal collider physics from the lightcone bootstrap
• Physics
• 2015
A bstractWe analytically study the lightcone limit of the conformal bootstrap equations for 4-point functions containing global symmetry currents and the stress tensor in 3d CFTs. We show that theExpand
Bootstrapping the (A1, A2) Argyres-Douglas theory
• Physics
• 2017
A bstractWe apply bootstrap techniques in order to constrain the CFT data of the (A1, A2) Argyres-Douglas theory, which is arguably the simplest of the Argyres-Douglas models. We study the four-pointExpand
Unitarity and positivity constraints for CFT at large central charge
• Physics
• 2016
A bstractWe consider the four-point correlator of the stress tensor multiplet in N=4$$\mathcal{N}=4$$ SYM in the limit of large central charge c ∼ N2. For finite values of g2N single-traceExpand