A Kähler potential is a real-valued function defined on some coordinate patch of a Hermitean manifold such that the metric of the manifold is given by the expression
It turns out that, for every Káhler manifold, there will exist a coordinate neighborhood of any given point in which the metric can be expresses in terms of a potential this way.
As an elementary example of a Kähler potential, we may consider . This potential gives rise to the flat metric .
Kähler potentials have applications in physics. For example, this function relates to the motion of certain subatomic particles called gauginos.
- 1 T. Barreiro, B. de Carlos & E. J. Copeland, “On non-perturbative corrections to the Kähler potential” Physical Review D57 (1998): 7354 - 7360