Deformations of Spacetime Symmetries Gravity, Group-Valued Momenta, and Non-Commutative Fields
This monograph provides an introduction to deformations of Poincaré symmetries focusing on models with a Lie group momentum space and associated non-commutative space-times. The emphasis is put on the emergence of such structures from quantum gravity, their mathematical features described in terms o...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2021, 2021
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| Edition: | 1st ed. 2021 |
| Series: | Lecture Notes in Physics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Invitation: gravity, point particles, and group-valued momenta
- Gravity in 2+1 dimensions as a Chern-Simons theory
- Gravity in 3+1 dimensions, particles and topological limit
- Deformed classical particles: phase space and kinematics
- Hopf algebra relativistic symmetries: the k-Poincarè algebra
- Classical fields, symmetries and conserved charges
- Free quantum fields and discrete symmetries