UID:
almafu_9961448465402883
Format:
1 online resource (xvi 402 pages) :
,
digital, PDF file(s).
Edition:
1st ed.
ISBN:
1-009-44080-2
,
1-009-44077-2
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 04 Apr 2024).
,
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.
Additional Edition:
ISBN 1-009-44078-0
Language:
English
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
https://doi.org/10.1017/9781009440776
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