# Superstring Coordinates

Tags: coordinates, superstring
 Emeritus PF Gold P: 8,147 In Cumrun Vafa's "Lightning Introduction" to string theory in his Lectures on Strings and Dualities , he instroduces supersymmetry to string theory thus: in addition to the coordinates $$X^{\mu}$$ we also have anti-commuting fermionic coordinates $$\psi_{L,R}^{\mu}$$ 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?
Astronomy
 Quote by selfAdjoint In Cumrun Vafa's "Lightning Introduction" to string theory in his Lectures on Strings and Dualities , he instroduces supersymmetry to string theory thus: in addition to the coordinates $$X^{\mu}$$ we also have anti-commuting fermionic coordinates $$\psi_{L,R}^{\mu}$$ 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?