Space-time CFTs from the Riemann sphere
File(s)
Published version
OA Location
Author(s)
Adamo, T
Monteiro, R
Poulo, MF
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.
Date Issued
2017-08-18
Date Acceptance
2017-07-27
Citation
JOURNAL OF HIGH ENERGY PHYSICS, 2017, 2017 (8)
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.
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.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000410890100001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
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