When a free point particle moves in a curved geometry it follows a geodesic. A particle is a 0+1 dimensional object, as it is fully localised in space (it is zero-dimensional) and it exists for all times. A particle can be generalised to a one-dimensional object, a string, which is a 1+1 dimensional. String motion in curved space is a generalisation of geodesic motion, as not just the center of mass of a string moves but strings can also have various shapes.
In this project you will study the motion of strings in varius curved geometries, and in particular stable, solitonic-like configurations which solve the string equations of motion. Such string configurations pop up in different set-ups, for example in the context of the Lund model, used to model the process of particle production in accelerators, or when one studies cosmic strings.
For this topic you will need the module on mathematical physics II and general relativity.
For a first reading look at: