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- Relative Locality, Kappa-Poincaré and the Relativity Principle

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PIRSA Number:

11110138

I briefly introduce the recently introduced idea of relativity of locality, which is a

consequence of a non-flat geometry of momentum space. Momentum space

can acquire nontrivial geometrical properties due to quantum gravity effects.

I study the relation of this framework with noncommutative geometry, and the

Quantum Group approach to noncommutative spaces. In particular I'm interested

in kappa-Poincaré, which is a Quantum Group that, as shown by Freidel and Livine,

in the 1+1D case emerges as the symmetry of effective field theory coupled with

quantum gravity, once that the gravitational degrees of freedom are integrated

out. I'm interested in particular in the Lorentz covariance of this model which

is present, but is realized in a nontrivial way. If I still have time, I'll then speak

about an under-course general study of the Lorentz covariance of Relative Locality

models.

©2012 Perimeter Institute for Theoretical Physics