A Why does the Kähler Potential only contain left handed Weyl spinors?

QFT1995
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Why aren't the right handed Weyl spinors included?
 
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I seem to notice a buildup of papers like this: Detecting single gravitons with quantum sensing. (OK, old one.) Toward graviton detection via photon-graviton quantum state conversion Is this akin to “we’re soon gonna put string theory to the test”, or are these legit? Mind, I’m not expecting anyone to read the papers and explain them to me, but if one of you educated people already have an opinion I’d like to hear it. If not please ignore me. EDIT: I strongly suspect it’s bunk but...
I'm trying to understand the relationship between the Higgs mechanism and the concept of inertia. The Higgs field gives fundamental particles their rest mass, but it doesn't seem to directly explain why a massive object resists acceleration (inertia). My question is: How does the Standard Model account for inertia? Is it simply taken as a given property of mass, or is there a deeper connection to the vacuum structure? Furthermore, how does the Higgs mechanism relate to broader concepts like...

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