Harold C. Steinacker (Austria Universitat Wien)

Quantum Geometry, Matrix Theory, and Gravity

• Gebundenes Buch

Produktbeschreibung

The volume provides an introduction to quantization in a broad context, and a systematic development of quantum geometry in Matrix Theory and string theory. It addresses advanced students and researchers in theoretical physics and mathematics, who are interested in quantum aspects of space-time and geometry in a physical context.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 420
• Erscheinungstermin: 11. April 2024
• Englisch
• Abmessung: 259mm x 183mm x 28mm
• Gewicht: 960g
• ISBN-13: 9781009440783
• ISBN-10: 1009440780
• Artikelnr.: 70205408

Autorenporträt

Harold Steinacker is senior scientist at the University of Vienna. He obtained his Ph.D. in physics at the University of California at Berkeley, and has held research positions at several universities. He has published more than 100 research papers, contributing significantly to the understanding of quantum geometry and matrix models in fundamental physics.

Inhaltsangabe

Preface
The trouble with spacetime
Quantum geometry and Matrix theory
Part I. Mathematical Background: 1. Differentiable manifolds
2. Lie groups and coadjoint orbits
Part II. Quantum Spaces and Geometry: 3. Quantization of symplectic manifolds
4. Quantum spaces and matrix geometry
5. Covariant quantum spaces
Part III. Noncommutative field theory and matrix models: 6. Noncommutative field theory
7. Yang-Mills matrix models and quantum spaces
8. Fuzzy extra dimensions
9. Geometry and dynamics in Yang-Mills matrix models
10. Higher-spin gauge theory on quantum spacetime
Part IV. Matrix Theory and Gravity: 11. Matrix theory: maximally supersymmetric matrix models
12. Gravity as a quantum effect on quantum spacetime
13. Matrix quantum mechanics and the BFSS model
Appendixes
References
Index.