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  What is the relationship between the super potential and the Kähler potential?

+ 1 like - 0 dislike

What is the relationship between the super potential and the Kähler potential? 

How are these two things related if at all?

asked Mar 26, 2017 in Theoretical Physics by Dilaton (6,240 points) [ no revision ]

1 Answer

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They aren't related. They appear in SUSY Lagrangian as $L=\int\mathrm{d}^4 \theta K(\Phi, \overline{\Phi})+\left(\int\mathrm{d}^2 \theta W(\Phi)+c.c.\right)$,

here $K$ is a real-valued function of a chiral field $\Phi$ and its conjugate $\overline{\Phi}$, named Kahler potential, while $W$ is an analytic function of $\Phi$, named superpotential.

Being rewritten in the component fields, $K$ contains kinetic terms of these fields and certain interactions required by supersymmetry, while $W$ contains potential (and mass) terms plus, again, interactions dictated by supersymmetry.

answered Mar 26, 2017 by Andrey Feldman (904 points) [ revision history ]
edited Mar 26, 2017 by Andrey Feldman

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