Weyl version of the Rarita-schwinger equation

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Hello,
Can someone please give me the form of the "Weyl" version of the Rarita-Schwinger equation.
Thanks
 

dextercioby

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I don't know what you mean. What's the Weyl version of other equation ?
 
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i want the expression in terms of two component spinors and not Dirac spinors.
 

dextercioby

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There are no Dirac spinors in that equation, but Rarita-Schwinger spinors.
 
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yes you're right.
what if i want to express it in terms of sigmas instead of gamma matrices. by what i can replace the levi-civita?
 

Bill_K

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abφaa1a2...alb1b2...bk = iκ χa1a2...alb1b2...bk
abχa1a2...albb1b2...bk = iκ φaa1a2...albb1b2...bk

Here both spinors φ and χ are symmetric. κ is the mass. φ has l+1 undotted (raised) and k dotted (lowered) indices; χ has l undotted and k+1 dotted indices. The underlying representation of the field equations is therefore ((l+1)/2 , k/2) ⊕ (l/2 , (k+1)/2).
 
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