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  Integrable Classical and Quantum Gravity

Nicolai, H., Korotkin, D. A., & Samtleben, H. (2006). Integrable Classical and Quantum Gravity. NATO Advanced Study Institute on Quantum Fields and Quantum Space Time. Cargese, France, 2006-07-22 - 2006-08-03.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4A4E-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4A4F-D
Genre: Teaching

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hep-th-9612065v1.pdf (Preprint), 432KB
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 Creators:
Nicolai, Hermann1, Author              
Korotkin, D. A., Author
Samtleben, Henning, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: In these lectures we report recent work on the exact quantization of dimensionally reduced gravity, i.e. 2d non-linear (G/H)-coset space sigma-models coupled to gravity and a dilaton. Using methods developed in the context of flat space integrable systems, the Wheeler-DeWitt equations for these models can be reduced to a modified version of the Knizhnik-Zamolodchikov equations from conformal field theory, the insertions given by singularities in the spectral parameter plane. This basic result in principle permits the explicit construction of solutions, i.e. physical states of the quantized theory. In this way, we arrive at integrable models of quantum gravity with infinitely many self-interacting propagating degrees of freedom.

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 Dates: 2006-12-06
 Publication Status: Published in print
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 Identifiers: eDoc: 341669
URI: http://arxiv.org/abs/hep-th/9612065
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Title: NATO Advanced Study Institute on Quantum Fields and Quantum Space Time
Place of Event: Cargese, France
Start-/End Date: 2006-07-22 - 2006-08-03

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