Mini-twistors and the Cotton double copy

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F23%3A00571620" target="_blank" >RIV/68378271:_____/23:00571620 - isvavai.cz</a>
Result on the web
<a href="https://hdl.handle.net/11104/0367645" target="_blank" >https://hdl.handle.net/11104/0367645</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/JHEP03(2023)177" target="_blank" >10.1007/JHEP03(2023)177</a>

Result language
angličtina
Original language name
Mini-twistors and the Cotton double copy
Original language description
The double copy relates quantities in gauge, gravity and related theories. A well-known procedure for relating exact classical solutions is the Weyl double copy in four spacetime dimensions, and a three-dimensional analogue of this — the Cotton double copy — has recently been found for topologically massive gauge theory and gravity. In this paper, we use twistor methods to provide a derivation of the position-space Cotton double copy, where this is seen to arise from combining appropriate data in so-called minitwistor space. Our methods rely on a massive generalisation of the Penrose transform linking spacetime fields with cohomology classes in minitwistor space. We identify the relevant transform from the twistor literature, but also show that it naturally arises from considering scattering amplitudes in momentum space. We show that the Cotton double copy in position space is only valid for type N solutions, but that a simple twistor space double copy is possible for non-type N solutions, where we use anyons to illustrate our arguments.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10308 - Astronomy (including astrophysics,space science)

Project
<a href="/en/project/GJ20-16531Y" target="_blank" >GJ20-16531Y: Implications of non-standard particle and gravitational models for cosmology.</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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