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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1103/PhysRevD.70.026006

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-\`{a}-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.

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