# Supersymmetry

*118*articles on

the Psi Epsilon Wikia

This article is or was once a |

This article or section 's content is very similar or exactly the same as that at a Physics Stack Exchange tag wiki or post. This is because the contributor of this article had initially contributed it to Physics Stack Exchange. |

String Theory
| ||
---|---|---|

All Roads Lead to String Theory (Polchinski)
| ||

Prior to the First Superstring Revolution
| ||

Early History
| S-Matrix Theory Regge Trajectory | |

Bosonic String Theory
| Worldsheet String Bosonic String Theory String Perturbation Theory Tachyon Condensation | |

Supersymmetric Revolution
| SupersymmetryRNS Formalism GS Formalism BPS | |

Superstring Revolutions
| ||

First Superstring Revolution
| GSO Projection Type II String Theory Type IIB String Theory Type IIA String Theory Type I String Theory Type H String Theory Type HO String Theory Type HE String Theory | |

Second Superstring Revolution
| T-Duality D-Brane S-Duality Horava-Witten String Theory M-Theory Holographic Principle N=4 Super-Yang-Mills Theory AdS CFT BFSS Matrix Theory Matrix String Theory (2,0) Theory Twistor String Theory F-Theory String Field Theory Pure Spinor Formalism | |

After the Revolutions
| ||

Phenomenology
| String Theory Landscape Minimal Supersymmetric Standard Model String Phenomenology | |

**Supersymmetry** (SUSY) A postulated symmetry between bosonic and fermionic fields in Quantum Field Theoryies and String Theoryies.

The theory of Supsersymmetry has been incorporated in the Standard Model (MSSM), Yang-Mills Theory (Super-Yang-Mills Theory), and most famously String Theory (Superstring theory).

While **Supersymmetry** remains experimentally unconfirmed, one of its greatest achievements is that the MSSM (which also appears in realistic M-Theory vacua) predicts a Higgs of mass 125 GeV (which was measured by the LHC recently.), which is contrary to the Standard Model, which predicts such a mass to be rather unlikely.

## Technical detailsEdit this section

There are two types of **supersymmetry**; worldsheet supersymmetry, and spacetime supersymmetry.

### Worldsheet supersymmetryEdit this section

The RNS Formalism has explicit worldsheet supersymmetry. Since the RNS Action is given by adding the Polyakov Action to the Dirac Action, it is given by:

The **supersymmetryic** transformations on the worldsheet can therefore be (almost trivially, by taking variations of this above action) shown to be:

### Spacetime SupersymmetryEdit this section

The GS Formalism, or the Superspace Formalism, are with explicit spacetime **supersymmetry**. The **supersymmetryic** transformations on spacetime are (which is rather intuitive if you compare this to the RNS Worldsheet supersymmetry transformations) given by: