Eur. Phys. J. C 25, 465-468 (2002)
DOI: 10.1007/s10052-002-01006-y
Poisson brackets, strings and membranes
K.-I. TezukaGraduate 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 )
Abstract
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
