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1 results

  • 14 - Fermions and Supersymmetry

  • from Part IV - Outlook
  • Thomas Mohaupt, University of Liverpool
  • Book:
    A Short Introduction to String Theory
    Published online:
    31 March 2022
    Print publication:
    07 April 2022, pp 215-238

  • Summary

    We use the the supersymmetric harmonic oscillator to introduce supersymmetry, and to motivate how world-sheet supersymmetry leads to space-time fermions. After a short review of Poincaré Lie superalgebras, we introduce the RNS-model, both as an example of a supersymmetric field theory and as a stepping stone to type-II superstrings. We motivate the GSO-projection through modular invariance and show how the massless spectra as well as the D-branes of type-II string theories arise. Type-I and heterotic strings are briefly introduced, and we conclude with an overview of the dualities that relate the five modular invariant supersymmetric string theories to one another, and to eleven-dimensional M-theory.