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I have a question regarding the expansion of the Kahler potential in visible sector fields [itex] C^{\alpha} [/itex]:

It is usually said that the Kahler potential can be expanded as follows: [tex] K = K_{hid}(\phi,\phi^*) + K_{\bar{\alpha} \beta}(\phi,\phi^*) C^{*\bar{\alpha}} C^{\beta} + \frac{1}{2} (Z_{\alpha \beta}(\phi,\phi^*) C^{\alpha} C^{\beta} + h.c.) + ... [/tex]

where the [itex] \phi [/itex] are the hidden fields.

I was wondering why there are no terms linear in [itex] C^{\alpha} [/itex], i.e. why there are no terms

[tex] P_{\alpha}(\phi,\phi^*) C^{\alpha} + h.c. \subset K [/tex]

I always thought the Kahler potential should be assumed as general as possible and that would include such terms. Can someone tell me why they are usually assumed to be absent? Are there papers about that specific question that I could consult?

Thank you very much,

SUSY

As an edit:

One often finds terms such as [itex] \propto \frac{1}{S + S^*} [/itex] for some stringfield [itex] S [/itex]. Again, such terms are absent for the visible fields, i.e. there are no terms [itex] \propto \frac{1}{C^{\alpha} + C^{*\bar{\alpha}}} [/itex] and I can't seem to understand why that should be so...

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# Kahler potental terms linear in visible sector fields

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