Hi, I'm reading Bilal's notes on SUSY, hep-th/0101055v1, and have some computational questions.(adsbygoogle = window.adsbygoogle || []).push({});

So I understand that spinors can be seen as objects carrying the basis rep. of SL(2,C), and how SO(3,1) is locally isomorphic to SU(2)XSU(2), giving basically two "sectors". With dots and bars we indicate in which SU(2) algebra the specific spinor is sitting.

We can introduce an inner product between spinors via

[tex]

\epsilon^{12}=\epsilon^{\dot{1}\dot{2}}=-\epsilon^{21}=-\epsilon^{\dot{2}\dot{1}}=1

[/tex]

and an opposite sign for the indices down.

Now, some identities are mentioned, such as (eq.2.15)

[tex]

\xi\sigma^{\mu}\bar{\psi} = -\bar{\psi}\bar{\sigma}^{\mu}\xi

[/tex]

How can I proof this? What's the origin of that minus-sign? And how do I contract the indices exactly in this equation? I'm a little confused, so to speak :)

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# SUSY computational questions:dots!

Loading...

Similar Threads for SUSY computational questions |
---|

What is Leakage in terms of quantum computing? |

I Computing CHSH violation bound |

I Does 'Phase Inversion' grow exponentially? |

A Shor's algorithm - need to uncompute auxiliary qubits? |

I A computational model of Bell correlations |

**Physics Forums | Science Articles, Homework Help, Discussion**