Frustrated conformal transformations and holomorphic maps on ambitwistor space
Mathematical Physics
2019-01-23 v2 Complex Variables
Differential Geometry
math.MP
Abstract
We study some aspects of conformal transformations in the context of twistor theory, leading to the definition of a frustrated conformal transformation. This equation relies on two instantons for the left and right copies of , one being self-dual and the other anti-self-dual. Solutions to this equation naturally generate maps on ambitwistor space due to an analog of the Penrose-Ward correspondence. A solution based on the BPST instanton is presented.
Cite
@article{arxiv.1812.07216,
title = {Frustrated conformal transformations and holomorphic maps on ambitwistor space},
author = {Edward B. Baker},
journal= {arXiv preprint arXiv:1812.07216},
year = {2019}
}