Deeper/ Broader course for Theoretical Particle Physicists
Brane Dynamics
Marco Bonetti (KIT)
Abstract
We will characterize the motion of p-branes (p-dimensional manifolds embedded in an ambient space). We will make use of differential geometry and theory of elasticity to construct a Lagrangian formalism that will allow us to study the dynamics of the system. We will review equilibrium configurations and introduce the concept of D-branes to study the propagation of waves on the brane. We will then consider the interaction between a charged p-brane and an external gauge field, closing our discussion with the quantization of brane dynamics.