Frustrated conformal transformations and holomorphic maps on ambitwistor space

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 \(Sp(1)\), one being self-dual and the other anti-self-dual. Solutions to t...

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Bibliographic Details
Published in:arXiv.org 2019-01
Main Author: Baker, Edward B
Format: Article
Language:English
Subjects:
Conformal mapping
Instantons
Online Access:Get full text
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Summary: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 \(Sp(1)\), 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.
ISSN:2331-8422