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A Symplectic Majorana Spinors in 5 Dimension

  1. Apr 30, 2016 #1
    I need to know if the Symplectic Majorana spinors in 5 dimension have any advantage with respect to the Dirac spinors in 5 dimension, since they have the same number of components. For example if the Symplectic Majorana spinors have a manifested symmetry that the Dirac spinors don't have, or if it's more easy to work with the Symplectic Majorana spinors.
     
  2. jcsd
  3. May 1, 2016 #2

    haushofer

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  4. May 1, 2016 #3
    No, i have not see it. I am gonna check it.
    Thank you!
     
  5. May 2, 2016 #4

    haushofer

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    Well, just a small hint: they got their name from a certain symm. property :P

    Especially in supergravity, where chirality often is not that important, we like Majorana spinors. In 2,3 and 4 dimensions we can define them, but in 5 dimensions we can't. But we can go the the next best thing: symplectic Majorana. Van Proeyen explains how and why.
     
  6. May 2, 2016 #5
    Tomas Ortin, in appendix D of "Gravity and Strings" (SECOND edition), says
    but in Australia, Google's preview is limited and doesn't let me see the actual argument.
     
  7. May 2, 2016 #6
    Thank you very mach!
     
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