A Note on Kahler Potential of Charged Matter in F-theory
Teruhiko Kawano, Yoichi Tsuchiya, Taizan Watari
TL;DR
This paper investigates the Kahler potential of charged matter fields in F-theory, revealing that it is precisely determined by an integral over the matter curve rather than the entire GUT surface, refining previous understanding.
Contribution
It provides an exact expression for the Kahler potential of charged matter in F-theory, emphasizing the significance of matter curves in its computation.
Findings
Kahler potential is given by an integral over the matter curve.
The integral over the entire GUT surface is not sufficient.
The result refines the understanding of matter field metrics in F-theory.
Abstract
We study the Kahler potential of charged matter fields, whose profiles have a peak on their matter curve --- on an "intersection" of 7-branes, in an F-theory compactification. It is shown that the Kahler potential is exactly given by the integral over the matter curve, but not by the integral over the whole GUT surface of 7-branes.
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