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Algebraic and Complex Geometry;Lie Theory and Generalizations;Mathematical Physics
Twistor Theory was proposed in the late 1960s by Roger Penrose as a potential geometric unification of general relativity and quantum mechanics. During the past 50 years, there have been many mathematical advances and achievements in twistor theory. In physics, however, there are aspirations yet to be realised. Twistor Theory and Loop Quantum Gravity (LQG) share a common background. Their aims are very much related. Is there more to it? This talk will sketch the geometry and symmetry behind twistor theory with the hope that links with LQG can be usefully strengthened. We believe there is something significant going on here: what could it be?
Twistor Theory was proposed in the late 1960s by Roger Penrose as a potential geometric unification of general relativity and quantum mechanics. During the past 50 years, there have been many mathematical advances and achievements in twistor theory. In physics, however, there are aspirations yet to be realised. Twistor Theory and Loop Quantum Gravity (LQG) share a common background. Their aims are very much related. Is there more to it? This ...
32L25 ; 53A30 ; 53C28
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Mathematical Physics
We construct Skyrme fields from holonomy of the spin connection of multi-Taub-NUT instantons with the centres positioned along a line in R3. The domain of our Skyrme fields is the space of orbits of the axial symmetry of the multi-Taub-NUT instantons. We obtain an expression for the induced Einstein-Weyl metric on the space and its associated solution to the $SU(\infty )$-Toda equation.
35Q75 ; 81V17 ; 81T13 ; 81Q80 ; 35C08
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Mathematical Physics
Conventional quantum field theory techniques do not work for extracting physical information from a background-independent quantum theory of gravity. A technique that works is Oeckl's boundary formalism, with semiclassical coherent states on the boundary. I illustrate how this technique has allowed us to compute the lifetime of a black hole in loop quantum gravity. This is an astrophysical relevant quantity that could have observational consequences.
Conventional quantum field theory techniques do not work for extracting physical information from a background-independent quantum theory of gravity. A technique that works is Oeckl's boundary formalism, with semiclassical coherent states on the boundary. I illustrate how this technique has allowed us to compute the lifetime of a black hole in loop quantum gravity. This is an astrophysical relevant quantity that could have observational ...
83C45 ; 83C47 ; 83C57
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- xxvi; 458 p.
ISBN 978-0-521-71596-6
Cambridge monographs on mathematical physics
Localisation : ouvrage RdC (ROVE)
équation de Hamilton-Jacobi # espace de boucles # gravité quantique # mécanique quantique # relativité quantique # relativité général
83-02 ; 83C45 ; 83E30 ; 83F05 ; 83C57 ; 83C05
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- xii; 254 p.
ISBN 978-1-107-06962-6
Localisation : Ouvrage RdC (ROVE)
gravité quantique # théorie des boucles # thermodynamique des trous noirs # théorie de jauge # formalisme de tétrade # action de Holst # calcul de Regge # variable de Ashtekar # formalisme ADM # amplitude de Ponzano-Regge # amplitude de Turaev-Viro # état cohérent # couplage de matière # propagateur du graviton # mousse de spin
83C27 ; 83C45 ; 83F05 ; 83-02
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