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Superstring Coordinates

by selfAdjoint
Tags: coordinates, superstring
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selfAdjoint
#1
May18-04, 02:49 PM
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 [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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marcus
#2
May18-04, 02:54 PM
Astronomy
Sci Advisor
PF Gold
marcus's Avatar
P: 23,235
Quote 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 [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?
darnit selfAdjoint, you spelled arxiv wrong so the link does not work

http://archive.org/hep-th/9702201

make it
http://arxiv.org/hep-th/9702201
selfAdjoint
#3
May18-04, 05:46 PM
Emeritus
PF Gold
P: 8,147
Sorry about that. It's fixed now.


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