Quantum Geometry, Matrix Theory, and Gravity

Quantum Geometry, Matrix Theory, and Gravity

Steinacker, Harold C.

Cambridge University Press

04/2024

420

Dura

9781009440783

15 a 20 dias

Descrição não disponível.
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.
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