Quantum Geometry, Matrix Theory, and Gravity

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Beschreibung

"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"--

Über den Autor

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.

Inhaltsverzeichnis

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.

Erscheinungsjahr:	2024
Fachbereich:	Astronomie
Genre:	Physik
Rubrik:	Naturwissenschaften & Technik
Thema:	Lexika
Medium:	Buch
Seiten:	420
ISBN-13:	9781009440783
ISBN-10:	1009440780
Einband:	Gebunden
Autor:	Steinacker, Harold C.
Hersteller:	Cambridge University Press
Maße:	259 x 183 x 28 mm
Von/Mit:	Harold C. Steinacker
Erscheinungsdatum:	11.04.2024
Gewicht:	0,976 kg

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