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Particles and Fields

Eur. Phys. J. C 25, 465-468 (2002)
DOI: 10.1007/s10052-002-01006-y

Poisson brackets, strings and membranes

K.-I. Tezuka

Graduate School of Science and Technology, Chiba University, 1-33 Yayoi-cho Inage-ku, Chiba 263-8522, Japan

(Received: 2 May 2002 / Revised version: 29 May 2002 / Published online: 16 August 2002 )

We construct Poisson brackets at the boundaries of open strings and membranes with constant background fields which are compatible with their boundary conditions. The boundary conditions are treated as primary constraints which give infinitely many secondary constraints. We show explicitly that we need only two (the primary one and one of the secondary ones) constraints to determine the Poisson brackets of strings. We apply this to membranes by using canonical transformations.

© Società Italiana di Fisica, Springer-Verlag 2002