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:


          Display Documents



  history
ID: 342166.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
OnE10 and the DDF construction
Authors:Gebert, Reinhold W.; Nicolai, Hermann
Date of Publication (YYYY-MM-DD):1995-09
Title of Journal:Communications in Mathematical Physics
Volume:172
Issue / Number:3
Start Page:571
End Page:622
Review Status:not specified
Audience:Not Specified
Abstract / Description:An attempt is made to understand the root spaces of Kac Moody algebras of hyperbolic type, and in particularE 10, in terms of a DDF construction appropriate to a subcritical compactified bosonic string. While the level-one root spaces can be completely characterized in terms of transversal DDF states (the level-zero elements just span the affine subalgebra), longitudinal DDF states are shown to appear beyond level one. In contrast to previous treatments of such algebras, we find it necessary to make use of a rational extension of the self-dual root lattice as an auxiliary device, and to admit non-summable operators (in the sense of the vertex algebra formalism). We demonstrate the utility of the method by completely analyzing a non-trivial level-two root space, obtaining an explicit and comparatively simple representation for it. We also emphasize the occurrence of several Virasoro algebras, whose interrelation is expected to be crucial for a better understanding of the complete structure of the Kac Moody algebra.
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, University of Hamburg, Luruper Chaussee, 149, D-22761 Hamburg, Germany
Identifiers:ISSN:1432-0916
DOI:10.1007/BF02101809
Full Text:
You have privileges to view the following file(s):
342166.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.