Membrane geometry with auxiliary variables and quadratic constraints

Details Membrane geometry with auxiliary variables and quadratic constraints Membrane geometry with auxiliary variables and quadratic constraints

2004-04-26

arxiv.org/abs/math-ph/0404064v1

J.Phys. A37 (2004) L313-L320

Physics

Mathematical Physics

8 pages

Scientific paper

10.1088/0305-4470/37/28/L02

Consider a surface described by a Hamiltonian which depends only on the metric and extrinsic curvature induced on the surface. The metric and the curvature, along with the basis vectors which connect them to the embedding functions defining the surface, are introduced as auxiliary variables by adding appropriate constraints, all of them quadratic. The response of the Hamiltonian to a deformation in each of the variables is examined and the relationship between the multipliers implementing the constraints and the conserved stress tensor of the theory established.

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