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- Diffeomorphism symmetry, triangulation independence and constraints in discrete gravity

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10030027

Diffeomorphism symmetry is the underlying symmetry of general

relativity and deeply intertwined with its dynamics. The notion of

diffeomorphism symmetry is however obscured in discrete gravity, which

underlies most of the current quantum gravity models. We will propose

a notion of diffeomorphism symmetry in discrete models and find that

such a symmetry is weakly broken in many models. This is connected to

the problem of finding a consistent canonical dynamics for discrete

gravity. Finally we will discuss methods to construct models with

exact symmetries and elaborate on the connection between

diffeomorphism symmetry and triangulation independence.

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