Ambitwistor formulations of R2 gravity and (DF)2 gauge theories

被引:29
作者
Azevedo, Tholes [1 ]
Engelund, Oluf Tang [1 ]
机构
[1] Uppsala Univ, Dept Phys & Astron, S-75108 Uppsala, Sweden
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2017年 / 11期
关键词
Scattering Amplitudes; Conformal Field Theory; CONFORMAL SUPERGRAVITY; HADRON COLLIDERS; GLUON OPERATORS; TREE AMPLITUDES; QCD;
D O I
10.1007/JHEP11(2017)052
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We consider D-dimensional amplitudes in R-2 gravities (conformal gravity in D = 4) and in the recently introduced (DF)(2) gauge theory, from the perspective of the CHY formulae and ambitwistor string theory. These theories are related through the BCJ double-copy construction, and the (DF)(2) gauge theory obeys color-kinematics duality. We work out the worldsheet details of these theories and show that they admit a formulation as integrals on the support of the scattering equations, or alternatively, as ambitwistor string theories. For gravity, this generalizes the work done by Berkovits and Witten on conformal gravity to D dimensions. The ambitwistor is also interpreted as a D-dimensional generalization of Witten's twistor string (SYM + conformal supergravity). As part of our ambitwistor investigation, we discover another (DF)(2) gauge theory containing a photon that couples to Einstein gravity. This theory can provide an alternative KLT description of Einstein gravity compared to the usual Yang-Mills squared.
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页数:27
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