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Towards $\ell$-conformal Galilei algebra via contraction of the conformal group

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arxiv 2309.01588 v2 pith:LZ5SEGQ5 submitted 2023-09-04 hep-th math-phmath.MP

Ivan Masterov This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords conformalalgebragalileicontractionextensionsspatialalgebrascontains
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abstract

We show that the In\"{o}n\"{u}-Wigner contraction of $so(\ell+1,\ell+d)$ with the integer $\ell>1$ may lead to algebra which contains a variety of conformal extensions of the Galilei algebra as subalgebras. These extensions involve the $\ell$-conformal Galilei algebra in $d$ spatial dimensions as well as $l$-conformal Galilei algebras in one spatial dimension with $l=3$, $5$, ..., $(2\ell-1)$.

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Cited by 1 Pith paper

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  1. Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory

    hep-th 2024-11 reject novelty 6.0 of 10

    An explicit conformal mapping is derived between null-reduced R times S^3 and Omega-deformed Minkowski TNC geometries, giving the state-operator generator map H0 = (R^2 H + C/R^2 - J - N)/2 in SU(1,2) non-Lorentzian CFTs.

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