1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Help with Supersymmetry

  1. Jun 6, 2006 #1
    It's been bugging my for ages, but I cannot see to show the following supersymmetry algebra :

    [tex]\delta_{\epsilon} X^{\mu} = \bar{\epsilon}\bar{\psi}[/tex]
    [tex]\delta_{\epsilon} \psi^{\mu} = \rho .\partial X^{\mu}\epsilon[/tex]

    Using these show that

    [tex][\delta_{\epsilon_{1}},\delta_{\epsilon_{2}}]X^{\mu} = 2\bar{\epsilon}_{1}\rho^{\alpha}\epsilon_{2}\partial_{\alpha}X^{\mu}[/tex]
    [tex][\delta_{\epsilon_{1}},\delta_{\epsilon_{2}}]\psi^{\mu} = 2\bar{\epsilon}_{1}\rho^{\alpha}\epsilon_{2}\partial_{\alpha}\psi^{\mu}[/tex]

    using [tex]\rho . \partial \psi^{\mu}=0[/tex] and [tex]\epsilon[/tex] being a Grassman spinor.

    I can do the first one but I cannot do the second one. Every textbook I check just says "It can be shown that..." but I can't actually show it!! :mad: :uhh:
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?

Similar Discussions: Help with Supersymmetry
  1. A bit of help (Replies: 0)

  2. Cantilever help. (Replies: 0)