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# Documents  Dunajski, Maciej | enregistrements trouvés : 6

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## Twistor theory for LQG Eastwood, Michael | CIRM H

Post-edited

Research talks;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 ...

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## Twist and loop Rovelli, Carlo | CIRM H

Multi angle

Research talks;Mathematical Physics

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## The quantum states and operators of the canonical LQG Lewandowski, Jerzy | CIRM H

Multi angle

Research talks;Mathematical Physics

83CXX

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## The palatial twistor approach to Einstein lambda vacuums Penrose, Roger | CIRM H

Multi angle

Research talks;Mathematical Physics

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## Skyrme fields, multi-instantons and the $SU(\infty )$-Toda equation Plansangkate, Prim | CIRM H

Multi angle

Research talks;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.

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## Solitons, instantons, and twistors Dunajski, Maciej | Oxford University Press 2010

Ouvrage

- xi; 359 p.
ISBN 978-0-19-857062-2

Oxford graduate texts in mathematics , 0019

Localisation : Ouvrage RdC (DUNA)

soliton # instanton # géométrie différentielle # mouvement ondulatoire # théorie des torseurs # équation aux dérivées partielles # champs de jauge # système intégrable # théorie de Yang-Mills

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