SYMMETRIES OF P-BRANES

Using canonical methods, we study the invariance properties of a boson ic p-brane propagating in a curved background locally diffeomorphic to M x G, where M is space-time and G a group manifold. The action is th at of a gauged sigma model in p + 1 dimensions coupled to a Yang-Mills field and a (p + 1) form in M. We construct the generators of Yang-Mi lls and tensor gauge transformations and exhibit the role of the (p 1) form in canceling the potential Schwinger terms. We also discuss th e Noether currents associated with the global symmetries of the action and the question of the existence of infinite-dimensional symmetry al gebras, analogous to the Kac-Moody symmetry of the string.