Quantum Geometry, Matrix Theory, and Gravity

Steinacker, Harold C.

ISBN 10: 1009440780 / ISBN 13: 9781009440783

Editore: Cambridge University Press, 2024

Special order direct from the distributor. Codice articolo ING9781009440783

Riassunto:

Building on mathematical structures familiar from quantum mechanics, this book provides an introduction to quantization in a broad context before developing a framework for quantum geometry in Matrix Theory and string theory. Taking a physics-oriented approach to quantum geometry, this framework helps explain the physics of Yang–Mills-type matrix models, leading to a quantum theory of space-time and matter. This novel framework is then applied to Matrix Theory, which is defined through distinguished maximally supersymmetric matrix models related to string theory. A mechanism for gravity is discussed in depth, which emerges as a quantum effect on quantum space-time within Matrix Theory. Using explicit examples and exercises, readers will develop a physical intuition for the mathematical concepts and mechanisms. It will benefit advanced students and researchers in theoretical and mathematical physics, and is a useful resource for physicists and mathematicians interested in the geometrical aspects of quantization in a broader context.

Dati bibliografici

Titolo: Quantum Geometry, Matrix Theory, and Gravity
Casa editrice: Cambridge University Press
Data di pubblicazione: 2024
Legatura: hardcover
Condizione: New
Edizione: 1st Edition.