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Kähler potential
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(Definition)
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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
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"Kähler potential" is owned by rspuzio. [ full author list (2) | owner history (4) ]
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(view preamble)
| Other names: |
Kahler potential |
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Cross-references: flat, potential, terms, point, neighborhood, expression, metric, manifold, Hermitean, coordinate, function
This is version 4 of Kähler potential, born on 2007-01-12, modified 2007-06-05.
Object id is 8740, canonical name is KahlerPotential.
Accessed 869 times total.
Classification:
| AMS MSC: | 53D99 (Differential geometry :: Symplectic geometry, contact geometry :: Miscellaneous) |
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Pending Errata and Addenda
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