Abstract

The idea of a companion Lagrangian associated with p-branes is extended to include the presence of U(1) fields. The brane Lagrangians are constructed with F ij represented in terms of Lagrange brackets, which make manifest the reparametrisation invariance of the theory; these are replaced by Poisson brackets in the companion Lagrangian, which is now covariant under field redefinition. The ensuing Lagrangians possess a similar formal structure to those in the absence of an anti-symmetric field tensor.

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