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2013

Loop-deformed Poincar\'e algebra

Mielczarek, Jakub

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In this essay we present evidence suggesting that loop quantum gravity leads to deformation of the local Poincar\'e algebra within the limit of high energies.

This deformation is a consequence of quantum modification of effective off-shell hypersurface deformation algebra.
Surprisingly, the form of deformation suggests that the signature of space-time changes from Lorentzian to Euclidean at large curvatures.
We construct particular realization of the loop-deformed Poincar\'e algebra and find that it can be related to curved momentum space, which indicates the relationship with recently introduced notion of relative locality.

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