String Theory | ||
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All Roads Lead to String Theory (Polchinski) | ||
Prior to the First Superstring Revolution
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Early History | S-Matrix Theory Regge Trajectory | |
Bosonic String Theory | Worldsheet String Bosonic String Theory String Perturbation Theory Tachyon Condensation | |
Supersymmetric Revolution | Supersymmetry RNS Formalism GS Formalism BPS | |
Superstring Revolutions
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First Superstring Revolution | GSO Projection Type II String Theory Type IIB String Theory Type IIA String Theory Type I String Theory Type H String Theory Type HO String Theory Type HE String Theory |
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Second Superstring Revolution | T-Duality D-Brane S-Duality Horava-Witten String Theory M-Theory Holographic Principle N=4 Super-Yang-Mills Theory AdS CFT BFSS Matrix Theory Matrix String Theory (2,0) Theory Twistor String Theory F-Theory String Field Theory Pure Spinor Formalism |
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After the Revolutions
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Phenomenology | String Theory Landscape Minimal Supersymmetric Standard Model String Phenomenology | |
The Pure Spinor Formalism is a modification to the GS Formalism invented by Nathan Berkovits, in which the Ghosts are pure spinors. Unlike the GS Formalism, the Pure Spinor Formalism is manifestly spacetime-supersymmetric.
Action Principle[]
According to equation 3.1 in [1], the action for a superstring in flat space is
where is a bosonic pure spinor ghost and its conjugate momentum (see equation 2.7 in [1]), with unhatted being left-moving and hatted being right-moving (see remark beneath equation 2.1 in [2]).
Mathematical Origin[]
Berkovits has recently[3] obtained the pure spinor formalism for the superstring by starting with purely bosonic variables (10 space-time dimensions, and a 10-dimensional bosonic pure spinor). The fermions of the superstring arise as Ghosts in this construction.
References[]
- ↑ 1.0 1.1 Bedoya, Oscar., Berkovits, Nathan.. http://arxiv.org/abs/0910.2254.
- ↑ Berkovits, Nathan.. http://arxiv.org/abs/0712.0324.
- ↑ Berkovits, Nathan.. http://arxiv.org/abs/1409.2510.