Nonlinear realization of a dynamical Poincare symmetry by a field-dependent diffeomorphism
199811 pages
Published in:
- Annals Phys. 270 (1998) 246-259
e-Print:
- hep-th/9803165 [hep-th]
Report number:
- MIT-CTP-2717
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Abstract:
We consider a description of membranes by (2,1)-dimensional field theory, or alternatively a description of irrotational, isentropic fluid motion by a field theory in any dimension. We show that these Galileo-invariant systems, as well as others related to them, admit a peculiar diffeomorphism symmetry, where the transformation rule for coordinates involves the fields. The symmetry algebra coincides with that of the Poincare group in one higher dimension. Therefore, these models provide a nonlinear representation for a dynamical Poincare group.- field theory: any-dimensional
- membrane model
- dimension: 3
- model: fluid
- invariance: Poincare
- symmetry: diffeomorphism
- group theory: representation
- representation: nonlinear
- field equations: solution
- numerical calculations
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