Conformal mapping and string scattering

String Theory (Fall, 2010)

Lecture Playlist

  1. The historical origins of string theory

  2. Mathematics of string motion

  3. The energy spectrum of strings

  4. Closed strings and the level matching rule

  5. Bosonic strings

  6. Strings with spin

  7. Fermionic strings and path integrals

  8. Conformal mapping and string scattering

  9. Strings in compact dimensions

  10. T-duality, D-branes and modeling field theories

  11. String theory wrapup

November 8, 2010

 

Professor Susskind develops the concept of conformal mapping, which can be used to dramatically simplify the solution of the 2 dimensional Laplace equation encountered in Lecture 7.   In this case the 2 dimensions correspond to the world sheet traced out by strings when scattering.

Topics: 
  • Conformal maps and analytic functions
  • Analytic functions produce conformal maps
  • Linear fractional mapping
  • String scattering concepts