Susy transforrnations & gso projection

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Discussion Overview

The discussion revolves around the relationship between supersymmetry (SUSY) transformations involving Q generators and the GSO projection in superstring theory. It explores whether GSO projection inherently provides supersymmetry or if additional SUSY transformations are necessary, as well as the sequence in which these processes should occur.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants question whether GSO projection, which is used in RNS sectors, only eliminates certain states like tachyons, implying that SUSY must still be applied.
  • Others argue that GSO projection inherently produces a SUSY spectrum, suggesting that no additional SUSY transformation is required.
  • A participant seeks clarification on whether using GSO projection means that no other SUSY transformations are needed.
  • Another participant expresses uncertainty about what is meant by "other SUSY transformations," indicating that SUSY transformations can still be performed if the theory has been appropriately GSO projected and remains invariant under such transformations.

Areas of Agreement / Disagreement

The discussion remains unresolved, with multiple competing views on the necessity and order of GSO projection and SUSY transformations.

Contextual Notes

There are limitations regarding the definitions of GSO projection and SUSY transformations, as well as the conditions under which they are applied, which remain unclear in the discussion.

lkwarren01
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I'm a little confused about the relaionship between susy transformations involving Q generators & gso projection in superstring theory. If gso projection is used in RNS sectors, does that only eliminate certain states, such as tachyon, then susy must still be applied?

Or does gso projection inherently provide supersymmetry, so that no additional transformation is required?

Finally, if both must be used together, which goes first?

Thanks
Larry Warren
 
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lkwarren01 said:
Or does gso projection inherently provide supersymmetry, so that no additional transformation is required?

Inherently. What is usually called "the" GSO projection is a projection that happens to produce a SUSY spectrum. Many other projections are possible and most are not supersymmetric. This nomenclature dates back to the old days and is perhaps somewhat confusing indeed.
 
Does that mean if GSO projection is used, no other SUSY transformation is needed?
Thanks for your help
 
I am not sure what you mean with "other SUSY transformation"...certainly you can do Susy transformations, if the theory has been GSO projected in a suitable manner, and it is invariant under such transformations.
 
thank you
 

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