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arXiv · 1812.07216

Frustrated conformal transformations and holomorphic maps on ambitwistor space

Edward B. Baker III
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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 $Sp(1)$, 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.

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Edward B. Baker III. 2018-12-18. Frustrated conformal transformations and holomorphic maps on ambitwistor space. https://arxiv.org/abs/1812.07216

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