On deformations and extensions of Diff(S2)

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F21%3A00552333" target="_blank" >RIV/68378271:_____/21:00552333 - isvavai.cz</a>
Result on the web
<a href="http://hdl.handle.net/11104/0327474" target="_blank" >http://hdl.handle.net/11104/0327474</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/JHEP10(2021)133" target="_blank" >10.1007/JHEP10(2021)133</a>

Result language
angličtina
Original language name
On deformations and extensions of Diff(S2)
Original language description
We investigate the algebra of vector fields on the sphere. First, we find that linear deformations of this algebra are obstructed under reasonable conditions. In particular, we show that hs[λ], the one-parameter deformation of the algebra of area-preserving vector fields, does not extend to the entire algebra. Next, we study some non-central extensions through the embedding of vect mathfrak{vect} vect(S2^{2}2) into vect mathfrak{vect} vect(ℂ∗^{*}∗). For the latter, we discuss a three parameter family of non-central extensions which contains the symmetry algebra of asymptotically flat and asymptotically Friedmann spacetimes at future null infinity, admitting a simple free field realization.
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
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OECD FORD branch
10303 - Particles and field physics

Project
<a href="/en/project/GX20-25775X" target="_blank" >GX20-25775X: Applied String Field Theory</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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