Strings in compact dimensions

String Theory (Fall, 2010)

November 23, 2010

This lecture explores the consequences of string excitations in compact dimensions.  Compact dimensions lead to quantized momentum and also to quantized energy levels due to stretching around the compact dimensions.  The duality of the momentum and winding states is explored.

Topics: 
  • Strings moving on a sphere
  • Periodic dimensions
  • Quantizing string motion on a torus
  • The duality of winding and quantized momentum – T-duality