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Relativistic membranes
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2013 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, Vol. 46, no 2, 023001- p.Article, review/survey (Refereed) Published
Abstract [en]

The classical dynamics of M-dimensional extended objects arising from stationary points of the world volume swept out in space time is discussed from various points of view. An introduction to the Hamiltonian mechanics of bosonic compact M(em)branes is given, emphasing the diversity of the different formulations and gauge choices. For moving hypersurfaces, a graph description-including its nonlinear realization of Lorentz invariance-and hydrodynamic formulations (in light-cone coordinates as well as when choosing the time coordinate of a Lorentz observer as the dependent variable) are presented. A matrix regularization for M = 2 (existing for all topologies) is explained in detail for the 2-sphere, as well as multilinear formulations for M > 2. The recently found dynamical symmetry that exists for all M and related reconstruction algebras are covered, just as some explicit solutions of the level-set equations.

Place, publisher, year, edition, pages
2013. Vol. 46, no 2, 023001- p.
Keyword [en]
Quantum-Mechanics, Preserving Diffeomorphisms, Integrable Systems, Field-Theories, String Theory, Quantization, Model, Dynamics, Supermembranes, Equations
National Category
Mathematics Physical Sciences
URN: urn:nbn:se:kth:diva-116721DOI: 10.1088/1751-8113/46/2/023001ISI: 000312490500003ScopusID: 2-s2.0-84871213061OAI: diva2:600600

QC 20130125

Available from: 2013-01-25 Created: 2013-01-25 Last updated: 2013-01-25Bibliographically approved

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Hoppe, Jens
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