Saturday, 22 August 2015

supersymmetry - How to determine R charge?


Ref. 1, page 15, equation (23) defines the U(1)V and U(1)A actions as eiαFV:Φ(x,θ±,ˉθ±)eiαqV:Φ(x,eiαθ±,eiαˉθ±)

The superfield can be written as Φ(x,θ±,ˉθ±)=x+θ+ψ++θψ+ˉθ+ˉψ++ˉθˉψ


The question is how to judge the U(1)V charge of ψ+, ψ, ˉψ+ and ˉψ like table 2 in page 17. that the U(1)V charge of ψ± is -1 and the U(1)V charge of ˉψ± is +1.


References:



  1. A. Klemm, Introduction to topological string theory on Calabi-Yau manifolds, lecture notes, 2005. The pdf file is available here.





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