{"product_id":"quantum-geometry-matrix-theory-and-gravity-hardback-9781009440783","title":"Quantum Geometry, Matrix Theory, and Gravity (Hardback) 9781009440783","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eQuantum Geometry, Matrix Theory, and Gravity\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book describes quantum geometry in the framework of Matrix Theory, which offers a quantum theory of space-time and matter.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eHarold C. Steinacker (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781009440783, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 11 April 2024\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e420 pages\u003cbr\u003e26.1 x 18.5 x 2.8 cm, 0.99 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'This text provides perhaps the first bridge for the uninitiated into this interesting field of research. The introductory chapters of this text are perhaps its finest, which beautifully define and explain the essential concepts needed for the proceeding discussions. Moreover, this book provides more than just a broad survey of historical results in the field, in the latter quadrants of the text, recent research is outlined in full, giving the reader a current outline of the field.' Physics Book Reviewer\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eBuilding 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e The trouble with spacetime\u003cbr\u003e Quantum geometry and Matrix theory\u003cbr\u003e Part I. Mathematical Background: 1. Differentiable manifolds\u003cbr\u003e 2. Lie groups and coadjoint orbits\u003cbr\u003e Part II. Quantum Spaces and Geometry: 3. Quantization of symplectic manifolds\u003cbr\u003e 4. Quantum spaces and matrix geometry\u003cbr\u003e 5. Covariant quantum spaces\u003cbr\u003e Part III. Noncommutative field theory and matrix models: 6. Noncommutative field theory\u003cbr\u003e 7. Yang–Mills matrix models and quantum spaces\u003cbr\u003e 8. Fuzzy extra dimensions\u003cbr\u003e 9. Geometry and dynamics in Yang–Mills matrix models\u003cbr\u003e 10. Higher-spin gauge theory on quantum spacetime\u003cbr\u003e Part IV. Matrix Theory and Gravity: 11. Matrix theory: maximally supersymmetric matrix models\u003cbr\u003e 12. Gravity as a quantum effect on quantum spacetime\u003cbr\u003e 13. Matrix quantum mechanics and the BFSS model\u003cbr\u003e Appendixes\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Statistical physics [\u003ca title=\"See our other books on Statistical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Statistical%20physics%20%5BPHS%5D%22\"\u003ePHS\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Brand New","offer_id":52501143421208,"sku":"9781009440783","price":52.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781009440783i.jpg?v=1786212279","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/quantum-geometry-matrix-theory-and-gravity-hardback-9781009440783","provider":"Freshly Printed Books","version":"1.0","type":"link"}