Home News About Us Contact Contributors Disclaimer Privacy Policy Help FAQ

Home
Search
Quick Search
Advanced
Fulltext
Browse
Collections
Persons
My eDoc
Session History
Login
Name:
Password:
Documentation
Help
Support Wiki
Direct access to
document ID:


          Institute: MPI für Gravitationsphysik     Collection: Quantum Gravity and Unified Theories     Display Documents



  history
ID: 341673.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Isomonodromic quantization of dimensionally reduced gravity
Authors:Korotkin, D. A.; Nicolai, Hermann
Date of Publication (YYYY-MM-DD):1996-09
Title of Journal:Nuclear Physics B
Volume:475
Issue / Number:1-2
Start Page:397
End Page:439
Copyright:We present a detailed account of the isomonodromic quantization of dimensionally reduced Einstein gravity with two commuting Killing vectors. This theory constitutes an integrable “midisuperspace” version of quantum gravity with infinitely many interacting physical degrees of freedom. The canonical treatment is based on the complete separation of variables in the isomonodromic sectors of the model. The Wheeler-DeWitt and diffeomorphism constraints are thereby reduced to the Knizhnik-Zamolodchikov equations for Image. The physical states are manifestly invariant under the full diffeomorphism group. An infinite set of independent observables a la Dirac exists both at the classical and the quantum level. Using the discrete unitary representations of Image, we construct explicit quantum states. However, the problem of satisfying the additional constraints associated with the coset space Image remains open. We briefly discuss the possible implications of our results for string theory.
Review Status:not specified
Audience:Not Specified
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
External Affiliations:Institute for Theoretical Physics, Hamburg University, Luruper Chaussee 149, Hamburg 22761, Germany
Identifiers:ISSN:0550-3213
DOI:10.1016/0550-3213(96)00320-3
Full Text:
You have privileges to view the following file(s):
341673.pdf  [2,00 Mb] [Comment:Online Journal]  
 
The scope and number of records on eDoc is subject to the collection policies defined by each institute - see "info" button in the collection browse view.