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In Cumrun Vafa's "Lightning Introduction" to string theory in his http://arxiv.org/hep-th/9702201 , he instroduces supersymmetry to string theory thus:
in addition to the coordinates [tex]X^{\mu}[/tex] we also have anti-commuting fermionic coordinates [tex]\psi_{L,R}^{\mu}[/tex] which are spacetime vectors but fermionic spinors on the worldsheet whose chirality is denoted by subscript L, R.
I have no problem with the anti-commutative coordinates themselve, but how does the worldsheet make vectors in spacetime appear as spinors?
in addition to the coordinates [tex]X^{\mu}[/tex] we also have anti-commuting fermionic coordinates [tex]\psi_{L,R}^{\mu}[/tex] which are spacetime vectors but fermionic spinors on the worldsheet whose chirality is denoted by subscript L, R.
I have no problem with the anti-commutative coordinates themselve, but how does the worldsheet make vectors in spacetime appear as spinors?
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