Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Representation of SUSY Algebra

  1. Feb 1, 2014 #1
    I have some questions about representations of SUSY algebra.
    (1) Take ##N=1## as an example. Massive supermultiplet can be constructed in this way:
    $$|\Omega>\\
    Q_1^\dagger|\Omega>, Q_2^\dagger|\Omega>\\
    Q_1^\dagger Q_2^\dagger|\Omega>$$ I understand the z-components ##s_z## of the last state and the first state are the same, but why do they also have the same total spin ##s##?

    (2)How do we get to know whether the fermions are Weyl or majorana? For instance ##N=2## hypermultiplet
    $$|\Omega_{-\frac{1}{2}}>: \chi_\alpha\\
    Q^\dagger|\Omega_{-\frac{1}{2}}>: \phi\\
    Q^\dagger Q^\dagger |\Omega_{-\frac{1}{2}}>: \psi^{\dagger \dot{\alpha}}$$ Is this representation CPT invariant? if so, I guess ##\chi## or ##\psi## should be majorana
    Or we might need to supplement the states with their CPT conjugates when the two fermion fields are weyl?
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Representation of SUSY Algebra
  1. SUSY particles (Replies: 6)

  2. Higgs and SUSY (Replies: 6)

Loading...