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Open AccessDouble Kerr-Schild spacetimes and the Newman-Penrose map
The Newman-Penrose map, which is closely related to the classical double copy, associates certain exact solutions of Einstein’s equations with self-dual solutions of the vacuum Maxwell equations. Here we initi...
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Article
Open AccessOn the conformal symmetry of exceptional scalar theories
The DBI and special galileon theories exhibit a conformal symmetry at unphysical values of the spacetime dimension. We find the Lagrangian form of this symmetry. The special conformal transformations are non-l...
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Article
Open AccessThe Newman-Penrose map and the classical double copy
Gauge-gravity duality is arguably our best hope for understanding quantum gravity. Considerable progress has been made in relating scattering amplitudes in certain gravity theories to those in gauge theories —...
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Article
Open AccessWeyl versus conformal invariance in quantum field theory
We argue that conformal invariance in flat spacetime implies Weyl invariance in a general curved background metric for all unitary theories in spacetime dimensions d ≤ 10. We also study possible curvature correct...
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Open AccessPositive energy conditions in 4D conformal field theory
We argue that all consistent 4D quantum field theories obey a spacetime-averaged weak energy inequality 〈T 00〉 ≥ −C/L 4, where L is the size of the smearin...
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Open AccessScale invariance, conformality, and generalized free fields
This paper addresses the question of whether there are 4D Lorentz invariant unitary quantum field theories with scale invariance but not conformal invariance. An important loophole in the arguments of Luty-Pol...
