Built on

S. Albayrak, D. Meltzer, and D. Poland, “More Analytic Bootstrap: Nonperturbative Effects and Fermions,” arXiv:1904.00032 [hep-th]
Original
1904
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, “Superstring Collisions at Planckian Energies,” Phys. Lett
1987
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, “Classical and Quantum Gravity Effects from Planckian Energy Superstring Collisions,” Int. J. Mod. Phys
1988
Earlier work this paper cites.
M. A. Vasiliev, “Consistent equation for interacting gauge fields of all spins in (3+1)-dimensions,” Phys. Lett
1990
Earlier work this paper cites.
H. Osborn and A. Petkou, “Implications of conformal invariance in field theories for general dimensions,” Annals Phys
1994
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys. Lett
1998
Earlier work this paper cites.
F. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl.Phys
2001
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I. R. Klebanov and A. M. Polyakov, “AdS dual of the critical O(N) vector model,” Phys. Lett
2002
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E. Sezgin and P. Sundell, “Massless higher spins and holography,” Nucl. Phys
2003
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M. A. Vasiliev, “Nonlinear equations for symmetric massless higher spin fields in (A)dS(d),” Phys. Lett
2003
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F. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl.Phys
2004
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A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, and R. Rattazzi, “Causality, analyticity and an IR obstruction to UV completion,” JHEP
2006
Earlier work this paper cites.
D. M. Hofman and J. Maldacena, “Conformal collider physics: Energy and charge correlations,” JHEP
Original
2008
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I. Heemskerk, J. Penedones, J. Polchinski, and J. Sully, “Holography from Conformal Field Theory,” JHEP
Original
2009
Earlier work this paper cites.
I. Heemskerk and J. Sully, “More Holography from Conformal Field Theory,” JHEP
Original
2010
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H. Casini, “Wedge reflection positivity,” J. Phys
Original
2011
Earlier work this paper cites.

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2018

Higher Spin ANEC and the Space of CFTs

Meltzer, David

Understand

We 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, with an emphasis on theories whose spectrum is close to that of a generalized free field theory.

Built on

S. Albayrak, D. Meltzer, and D. Poland, “More Analytic Bootstrap: Nonperturbative Effects and Fermions,” arXiv:1904.00032 [hep-th]
Original
1904
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, “Superstring Collisions at Planckian Energies,” Phys. Lett
1987
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, “Classical and Quantum Gravity Effects from Planckian Energy Superstring Collisions,” Int. J. Mod. Phys
1988
Earlier work this paper cites.
M. A. Vasiliev, “Consistent equation for interacting gauge fields of all spins in (3+1)-dimensions,” Phys. Lett
1990
Earlier work this paper cites.
H. Osborn and A. Petkou, “Implications of conformal invariance in field theories for general dimensions,” Annals Phys
1994
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys. Lett
1998
Earlier work this paper cites.
F. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl.Phys
2001
Earlier work this paper cites.
I. R. Klebanov and A. M. Polyakov, “AdS dual of the critical O(N) vector model,” Phys. Lett
2002
Earlier work this paper cites.
E. Sezgin and P. Sundell, “Massless higher spins and holography,” Nucl. Phys
2003
Earlier work this paper cites.
M. A. Vasiliev, “Nonlinear equations for symmetric massless higher spin fields in (A)dS(d),” Phys. Lett
2003
Earlier work this paper cites.
F. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl.Phys
2004
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, and R. Rattazzi, “Causality, analyticity and an IR obstruction to UV completion,” JHEP
2006
Earlier work this paper cites.
D. M. Hofman and J. Maldacena, “Conformal collider physics: Energy and charge correlations,” JHEP
Original
2008
Earlier work this paper cites.
I. Heemskerk, J. Penedones, J. Polchinski, and J. Sully, “Holography from Conformal Field Theory,” JHEP
Original
2009
Earlier work this paper cites.
I. Heemskerk and J. Sully, “More Holography from Conformal Field Theory,” JHEP
Original
2010
Earlier work this paper cites.
H. Casini, “Wedge reflection positivity,” J. Phys
Original
2011
Earlier work this paper cites.