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Symmetries of quantum space-time in 3 dimensions
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abstract
By applying loop quantum gravity techniques to 3D gravity with a positive cosmological constant $\Lambda$, we show how the local gauge symmetry of the theory, encoded in the constraint algebra, acquires the quantum group structure of $so_q(4)$, with $ q = \exp{(i\hbar \sqrt{\Lambda}/2\kappa)}$. By means of an Inonu-Wigner contraction of the quantum group bi-algebra, keeping $\kappa$ finite, we obtain the kappa-Poincar\'e algebra of the flat quantum space-time symmetries.
Forward citations
Cited by 2 Pith papers
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Modified Mukhanov-Sasaki equation and primordial perturbations in $\kappa$-deformed non-commutative space-time
A κ-deformed star product modifies the inflationary perturbation equation, yielding a (ln k)^2 correction to the power spectrum and a claimed ACT DR6 bound on the deformation length.
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Bias in Local Spin Measurements from Deformed Symmetries
Local spin measurements on the U_q(su(2)) deformed singlet are biased unless observables are R-matrix-dressed; the claimed unbiased fix is not supported by the paper's own equations.
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