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Quantum geometry, matrix theory, and gravity / Harold C. Steinacker.

By: Publication details: Cambridge: Cambridge University Press, 2024.Description: xvi, 402pISBN:
  • 9781009440783
Subject(s): DDC classification:
  • 530.15 St34Q 23/eng/20240412
LOC classification:
  • QC174.17.G46 S74 2024
Contents:
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.
Summary: "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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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"--

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