  We propose a new class of p-brane theories which are Weyl-conformally
invariant for any p. For any odd world-volume dimension the latter describe
intrinsically light-like branes, hence the name WILL-branes (Weyl-Invariant
Light-Like branes). Next we discuss the dynamics of WILL-membranes (i.e., for
p=2) both as test branes in various external physically relevant D=4
gravitational backgrounds, as well as within the framework of a coupled D=4
Einstein-Maxwell-WILL-membrane system. In all cases we find that the
WILL-membrane materializes the event horizon of the corresponding black hole
solutions, thus providing an explicit dynamical realization of the membrane
paradigm in black hole physics.
