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Coxeter group struc...
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Henneaux, MarcCentro de Estudios Cientificos,Université libre de Bruxelles (ULB)
(författare)
Coxeter group structure of cosmological billiards on compact spatial manifolds
- Artikel/kapitelEngelska2008
Förlag, utgivningsår, omfång ...
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2008-09-10
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Springer Science and Business Media LLC,2008
Nummerbeteckningar
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LIBRIS-ID:oai:research.chalmers.se:62d6fd1f-f8b5-457f-9ecf-fc565eaf1603
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https://doi.org/10.1088/1126-6708/2008/09/052DOI
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https://research.chalmers.se/publication/100326URI
Kompletterande språkuppgifter
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Språk:engelska
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Sammanfattning på:engelska
Ingår i deldatabas
Klassifikation
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Ämneskategori:art swepub-publicationtype
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Ämneskategori:ref swepub-contenttype
Anmärkningar
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We present a systematic study of the cosmological billiard structures of Einstein-p-form systems in which all spatial directions are compactified on a manifold of nontrivial topology. This is achieved for all maximally oxidised theories associated with split real forms, for all possible compactifications as defined by the de Rham cohomology of the internal manifold. In each case, we study the Coxeter group that controls the dynamics for energy scales below the Planck scale as well as the relevant billiard region. We compare and contrast them with the Weyl group and fundamental domain that emerge from the general BKL analysis. For generic topologies we find a variety of possibilities: ( i) The group may or may not be a simplex Coxeter group; ( ii) The billiard region may or may not be a fundamental domain. When it is not a fundamental domain, it can be described as a sequence of pairwise adjacent chambers, known as a gallery, and the reflections in the billiard walls provide a non-standard presentation of the Coxeter group. We find that it is only when the Coxeter group is a simplex Coxeter group, and the billiard region is a fundamental domain, that there is a correspondence between billiard walls and simple roots of a Kac-Moody algebra, as in the general BKL analysis. For each compactification we also determine whether or not the resulting theory exhibits chaotic dynamics.
Ämnesord och genrebeteckningar
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NATURVETENSKAP Fysik hsv//swe
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NATURAL SCIENCES Physical Sciences hsv//eng
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STRING COSMOLOGY
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E-10
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N=16
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MODELS
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spacetime singularities
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INTEGRABILITY
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CHAOS
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SINGULARITIES
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SUPERSTRING COSMOLOGY
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KAC-MOODY ALGEBRAS
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SUPERGRAVITY
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OSCILLATORY BEHAVIOR
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discrete and finite symmetries
Biuppslag (personer, institutioner, konferenser, titlar ...)
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Persson, Daniel,1978Chalmers tekniska högskola,Chalmers University of Technology(Swepub:cth)danper
(författare)
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Wesley, D. H.University Of Cambridge
(författare)
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Centro de Estudios CientificosUniversité libre de Bruxelles (ULB)
(creator_code:org_t)
Sammanhörande titlar
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Ingår i:Journal of High Energy Physics: Springer Science and Business Media LLC2008:9, s. 49-1029-84791126-6708
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