In summary, the Kähler Potential is a mathematical construct used in supersymmetric theories that describes interactions between different fields. Left handed Weyl spinors are used because they can be paired with right handed Weyl spinors to form a complex scalar field, preserving supersymmetry. This choice has physical implications, leading to a chiral theory. While the Kähler Potential can be written in terms of other spinors, only left handed Weyl spinors are compatible with supersymmetry.
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QFT1995
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Why aren't the right handed Weyl spinors included?