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Mathematical Physics

arXiv:1812.07216 (math-ph)
[Submitted on 18 Dec 2018 (v1), last revised 20 Jan 2019 (this version, v2)]

Title:Frustrated conformal transformations and holomorphic maps on ambitwistor space

Authors: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.
Subjects: Mathematical Physics (math-ph); Complex Variables (math.CV); Differential Geometry (math.DG)
MSC classes: 14D21
Cite as: arXiv:1812.07216 [math-ph]
  (or arXiv:1812.07216v2 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.1812.07216

Submission history

From: Edward Baker III [view email]
[v1] Tue, 18 Dec 2018 07:56:42 UTC (19 KB)
[v2] Sun, 20 Jan 2019 04:59:15 UTC (19 KB)
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