Weyl-Conformally Invariant p-Brane Theories
Abstract
We discuss in some detail the properties of a novel class of Weyl-conformally invariant p-brane theories which describe intrinsically light-like branes for any odd world-volume dimension and whose dynamics significantly differs from that of the ordinary (conformally non-invariant) Nambu-Goto p-branes. We present explicit solutions of the WILL-brane (Weyl-Invariant Light-Like brane) equations of motion in various gravitational backgrounds of physical relevance exhibiting the following new phenomena: (i) In spherically symmetric static backgrounds the WILL-brane automatically positions itself on (materializes) the event horizon of the corresponding black hole solutions, thus providing an explicit dynamical realization of the membrane paradigm in black hole physics; (ii) In product spaces (of interest in Kaluza-Klein context) the WILL-brane wrappes non-trivially around the compact (internal) dimensions and moves as a whole with the speed of light in the non-compact (space-time) dimensions.
Keywords
Cite
@article{arxiv.hep-th/0501220,
title = {Weyl-Conformally Invariant p-Brane Theories},
author = {Eduardo Guendelman and Alexander Kaganovich and Emil Nissimov and Svetlana Pacheva},
journal= {arXiv preprint arXiv:hep-th/0501220},
year = {2011}
}
Comments
15 pages, to appear in "Third International School on Modern Mathematical Physics", Aug. 2004, Zlatibor (Serbia and Montenegro), Branko Dragovich et.al. (eds), Belgrade Inst. of Physics Press (2005; few signs and factors corrected