Quantum geometry, matrix theory, and gravity /
Steinacker, Harold C.
Quantum geometry, matrix theory, and gravity / Harold C. Steinacker. - Cambridge: Cambridge University Press, 2024. - xvi, 402p.
Includes bibliographical references and index.
Differentiable manifolds -- Lie groups and coadjoint orbits -- Quantization of symplectic manifolds -- Quantum spaces and matrix geometry -- Covariant quantum spaces -- Noncommutative field theory -- Yang-Mills matrix models and quantum spaces -- Fuzzy extra dimensions -- Geometry and dynamics in Yang-Mills matrix models -- Higher-spin gauge theory on quantum spacetime -- Matrix theory : maximally supersymmetric matrix models -- Gravity as a quantum effect on quantum spacetime -- Matrix quantum mechanics and the BFSS model.
"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"--
9781009440783
2024002976
Geometric quantization.
Matrices.
String models.
Gravity--Mathematical models.
QC174.17.G46 / S74 2024
530.15 St34Q
Quantum geometry, matrix theory, and gravity / Harold C. Steinacker. - Cambridge: Cambridge University Press, 2024. - xvi, 402p.
Includes bibliographical references and index.
Differentiable manifolds -- Lie groups and coadjoint orbits -- Quantization of symplectic manifolds -- Quantum spaces and matrix geometry -- Covariant quantum spaces -- Noncommutative field theory -- Yang-Mills matrix models and quantum spaces -- Fuzzy extra dimensions -- Geometry and dynamics in Yang-Mills matrix models -- Higher-spin gauge theory on quantum spacetime -- Matrix theory : maximally supersymmetric matrix models -- Gravity as a quantum effect on quantum spacetime -- Matrix quantum mechanics and the BFSS model.
"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"--
9781009440783
2024002976
Geometric quantization.
Matrices.
String models.
Gravity--Mathematical models.
QC174.17.G46 / S74 2024
530.15 St34Q