Symmetries of P-Branes

Details Symmetries of P-Branes Symmetries of P-Branes

1992-10-11

arxiv.org/abs/hep-th/9210061v1

Int. J. Mod. Phys. A8 (1993) 5367-5382

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, CTP-TAMU-32/92, SISSA 182/92/EP

Scientific paper

Using canonical methods, we study the invariance properties of a bosonic $p$--brane propagating in a curved background locally diffeomorphic to $M\times G$, where $M$ is spacetime and $G$ a group manifold. The action is that 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-Mills and tensor gauge transformations and exhibit the role of the $(p+1)$--form in cancelling the potential Schwinger terms. We also discuss the Noether currents associated with the global symmetries of the action and the question of the existence of infinite dimensional symmetry algebras, analogous to the Kac-Moody symmetry of the string.

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