Space-time CFTs from the Riemann sphere

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Title: Space-time CFTs from the Riemann sphere
Author(s): Adamo, T
Monteiro, R
Poulo, MF
Item Type: Journal Article
Abstract: We consider two-dimensional chiral, first-order conformal field theories governing maps from the Riemann sphere to the projective light cone inside Minkowski space — the natural setting for describing conformal field theories in two fewer dimensions. These theories have a SL(2) algebra of local bosonic constraints which can be supplemented by additional fermionic constraints depending on the matter content of the theory. By computing the BRST charge associated with gauge fixing these constraints, we find anomalies which vanish for specific target space dimensions. These critical dimensions coincide precisely with those for which (biadjoint) cubic scalar theory, gauge theory and gravity are classically conformally invariant. Furthermore, the BRST cohomology of each theory contains vertex operators for the full conformal multiplets of single field insertions in each of these space-time CFTs. We give a prescription for the computation of three-point functions, and compare our formalism with the scattering equations approach to on-shell amplitudes.
Publication Date: 18-Aug-2017
Date of Acceptance: 27-Jul-2017
URI: http://hdl.handle.net/10044/1/52625
DOI: https://dx.doi.org/10.1007/JHEP08(2017)067
ISSN: 1029-8479
Publisher: SPRINGER
Journal / Book Title: JOURNAL OF HIGH ENERGY PHYSICS
Volume: 2017
Issue: 8
Copyright Statement: © 2017 The Author(s). Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0 https://creativecommons.org/licenses/by/4.0/), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Copyright Statement: © 2017 The Author(s). Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0 https://creativecommons.org/licenses/by/4.0/), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Keywords: Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
Conformal Field Models in String Theory
Conformal Field Theory
TWISTOR SPACE
STRING THEORY
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status: Published
Article Number: ARTN 067
Open Access location: https://arxiv.org/pdf/1703.04589.pdf
Appears in Collections:Physics
Theoretical Physics



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