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The dynamics of relativistic membranes. Reduction to 2-dimensional fluid dynamics
Open accessAbstract
Abstract We greatly simplify the light-cone gauge description of a relativistic membrane moving in Minkowski space by performing a field-dependent change of variables which allows the explicit solution of all constraints and a Hamiltonian reduction to a SO(1, 3) invariant 2 + 1-dimensional theory of isentropic gas dynamics, where the pressure is inversely proportional to (minus) the mass-density. Simple expressions for the generators of the Poincare group are given. We also find a generalized Lax pair which involves as a novel feature complex conjugation. The extension to the supersymmetric case, as well as to higher-dimensional minimal surfaces of codimension one is briefly mentioned.
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Cited by
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Metadata
- Authors
- Bordemann, M., & Hoppe, J.
- Venue
- Physics Letters B
- Publisher
- Elsevier BV
- Published
- 1993-11
- Volume
- 317
- Issue
- 3
- Pages
- 315-320
- ISSN
- 0370-2693 (ISSN-L)
- OpenAlex
- W1979051075
- Cited by
- 183
- References
- 0
- FWCI
- 2.06
- Type
- journal article
- Language
- en
- Open access
- green
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