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14 - Fermions and Supersymmetry

from Part IV - Outlook

Published online by Cambridge University Press:  31 March 2022

Thomas Mohaupt
Affiliation:
University of Liverpool
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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.

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Publisher: Cambridge University Press
Print publication year: 2022

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  • Fermions and Supersymmetry
  • Thomas Mohaupt, University of Liverpool
  • Book: A Short Introduction to String Theory
  • Online publication: 31 March 2022
  • Chapter DOI: https://doi.org/10.1017/9781108611619.021
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  • Fermions and Supersymmetry
  • Thomas Mohaupt, University of Liverpool
  • Book: A Short Introduction to String Theory
  • Online publication: 31 March 2022
  • Chapter DOI: https://doi.org/10.1017/9781108611619.021
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Fermions and Supersymmetry
  • Thomas Mohaupt, University of Liverpool
  • Book: A Short Introduction to String Theory
  • Online publication: 31 March 2022
  • Chapter DOI: https://doi.org/10.1017/9781108611619.021
Available formats
×