Gauging spacetime inversions in quantum gravity
Massachusetts Institute of Technology · The University of Tokyo
Abstract
A bstract Spacetime inversion symmetries such as parity and time reversal play a central role in physics, but they are usually treated as global symmetries. In quantum gravity there are no global symmetries, so any spacetime inversion symmetries must be gauge symmetries. In particular this includes $$\mathcal{C}\mathcal{R}\mathcal{T}$$ symmetry (in even dimensions usually combined with a rotation to become $$\mathcal{C}\mathcal{P}\mathcal{T}$$ ), which in quantum field theory is always a symmetry and seems likely to be a symmetry of quantum gravity as well. In this article we discuss what it means to gauge a spacetime inversion symmetry, and we explain some of the more unusual consequences of doing this. In…
Citation impact
- FWCI
- 81.70
- Percentile
- 100%
- References
- 79
Authors
2Topics & keywords
- Quantum gravity
- Spacetime
- Hořava–Lifshitz gravity
- Euclidean quantum gravity
- Spacetime symmetries
- Causal sets
- Quantum geometry
- Quantum spacetime