Deformations of Spacetime Symmetries
Gravity, Group-Valued Momenta, and Non-Commutative Fields
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Beschreibung
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 of Hopf algebras and applications to particle kinematics and field theory.
Part I of this work focuses on the link between gravity and deformed symmetries in the case of 2+1 and 3+1 space-time dimensions. Part II is devoted to the description of classical particles with group valued momenta, their phase spaces and kinematics. The last part of these notes provides an introduction to the basic features of classical and quantum field theory on κ-Minkowski space-time, the prototypical example of non-commutative space-time exhibiting deformed Poincaré symmetry.
The text, being the first providing a detailed overview of these topics, is primarily intended for researchers and graduatestudents interested in non-commutative field theories and quantum gravity phenomenology.
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 of Hopf algebras and applications to particle kinematics and field theory.
Part I of this work focuses on the link between gravity and deformed symmetries in the case of 2+1 and 3+1 space-time dimensions. Part II is devoted to the description of classical particles with group valued momenta, their phase spaces and kinematics. The last part of these notes provides an introduction to the basic features of classical and quantum field theory on κ-Minkowski space-time, the prototypical example of non-commutative space-time exhibiting deformed Poincaré symmetry.
The text, being the first providing a detailed overview of these topics, is primarily intended for researchers and graduate students interested in non-commutative field theories and quantum gravity phenomenology.
First monograph at introductory level on Poincaré symmetries Presents clearly the linking between gravity and deformed symmetries Illustrates basic aspects of classical and quantum field theories on k-Minkowski non-commutative space
Autor*in
Michele Arzano
Themen in »Deformations of Spacetime Symmetries«
Quantum-deformed Symmetries Quantum Gravity Phenomenology Hopf Algebras Gravity in 2+1 Dimensions Relativistic Particles and Fields Discrete Spacetime Symmetries
Stimmen zu »Deformations of Spacetime Symmetries«
“Since the topics are at the frontier of the related research, and no collected materials are available for reference, this book will be a helpful resource for one trying to start research in these fields.” (Erico Tanaka, zbMATH 1479.83002, 2022)
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