Interpolating Action for Strings and Membranes - a Study of Symmetries in the Constrained Hamiltonian Approach

Abstract

A master action for bosonic strings and membranes, interpolating between the Nambu--Goto and Polyakov formalisms, is discussed. The role of the gauge symmetries vis-à-vis reparametrization symmetries of the various actions is analyzed by a constrained Hamiltonian approach. This analysis reveals the difference between strings and higher branes, which is essentially tied to a degree of freedom count. The cosmological term for membranes follows naturally in this scheme. The conncetion of our aproach with the Arnowitt--Deser--Misner representation in general relativity is illuminated.

LaTex, 23 pages; discussion on ADM representation included and new references added

References in corpus (4)

• Aspects of BRST Quantization
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• Galilean noncommutative gauge theory: symmetries & vortices
• Membrane and Noncommutativity

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• Covariant canonical formalism for Dirac-Nambu-Goto bosonic p-branes and the Gauss-Bonnet topological term in string theory
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