nLab Five lectures on supersymmetry

This page collects some links related to

• Daniel Freed:

  
  

  Five lectures on supersymmetry

  
  

  American Mathematical Society (1999)

  ISBN:978-0-8218-1953-1

  spire:517862

on superalgebra, supergeometry and supersymmetry.

See in conjunction also:

• Daniel Freed, Classical field theory and supersymmetry, IAS/Park City Mathematics Series 11 (2001) [pdf]

and

• Pierre Deligne, Pavel Etingof, Dan Freed, Lisa Jeffrey, David Kazhdan, John Morgan, D.R. Morrison and Edward Witten, (eds.), Quantum Fields and Strings

with its section

• Pierre Deligne, Daniel Freed, Supersolutions [arXiv:hep-th/9901094]

Lecture 1. What are fermions?

• fermion

Lecture 2. Lagrangians and Symmetries

• Lagrangian, Noether's theorem

Lecture 3. Supersymmetry in Various Dimensions

• supersymmetry

Lecture 4. Theories with Two Supersymmetries

$\sigma$-models and gauge theories

• sigma-model

• gauge theory

The superspacetime $M^{3|2}$

• super-Minkowski spacetime

Supersymmetric $\sigma$-model in 3 dimensions

• supersymmetric sigma-model

A supersymmetric potential

• superpotential?

Dimensional reduction to $n = 2$ dimensions

• KK reduction

Dimensional reduction to $n = 1$

• KK reduction

Gauge theory of $M^{3|2}$

• gauge theory

• Yang-Mills theory

Lecture 5. Theories with More Supersymmetry

Fundamental vs. effective Lagrangians

• effective QFT

Dimensional reduction of gauge fields

• KK-reduction

Quantum particles in $n = 4$ dimensions

• irreducible representations of the Poincare group

The superspacetime $M^{4|4}$

• super-Minkowski spacetime

Supersymmetric $\sigma$-model on $M^{4|4}$

• supersymmetric sigma-model

The superpotential

• superpotential?

Gauge theory on $M^{4|4}$

• gauge theory

The general theory on $M^{4|4}$

• Higgs mechanism

Dimensional reduction of theories with $s = 3$ and $s = 4$ supersymmetries

• KK-reduction

Theories with $s = 8$ supersymmetries

(…)

Theories with $s = 16$ supersymmetries

category: reference