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Twistor Origin of the Superstring

  1. Sep 9, 2014 #1
    http://arxiv.org/abs/1409.2510
    Twistor Origin of the Superstring
    Nathan Berkovits (ICTP-SAIFR/IFT-UNESP, Sao Paulo)
    (Submitted on 8 Sep 2014)
    After introducing a d=10 pure spinor λα, the Virasoro constraint ∂xm∂xm=0 can be replaced by the twistor-like constraint ∂xmmλ)α=0. Quantizing this twistor-like constraint leads to the pure spinor formalism for the superstring where the fermionic superspace variables θα and their conjugate momenta come from the ghosts and antighosts of the twistor-like constraint.

    ...

    We should compare this with Ichiro Oda's "Emergence of Superstring from Pure Spinor".
     
  2. jcsd
  3. Sep 11, 2014 #2

    MTd2

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    Let me see if I understand something of the idea. The twistor constrain is a 16 dimensional space, which are spanned pairs of 8 dimension spinors, related by supersymmetry. So, what you have here is bosonic string, where each pair of spinors is a de-bosonized field. And this constrains yield the gauge symmetry of the string.
     
  4. Sep 13, 2014 #3

    MTd2

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    Note. I am trying to understand! Do not take what I posted above seriously! I am waiting for an answer too if that makes sense!!!
     
  5. Sep 19, 2014 #4
    What I understood so far (I had very little time to read it) was that he starts with ten space-time dimensions and a ten-dimensional bosonic spinor. Then he makes a quantum theory for strings in this space, and there are ghost fields which are the worldsheet fermions of the superstring.

    I remember that Garrett Lisi (E8 theory) was mocked for hoping that he could get standard model fermions from ghosts somehow...
     
  6. Oct 2, 2014 #5

    Ben Niehoff

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    Actually I'm sitting in a talk right now by Nathan on this very paper, but I'm not sure I'm expert enough to offer an opinion. :P
     
  7. Oct 2, 2014 #6

    Ben Niehoff

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    He appears to be saying he hasn't yet shown explicitly how physical fermion states can be obtained from the ghosts.
     
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