On the Holomorphic Structure of a Low Energy Supersymmetric Wilson Effective Action
T.E. Clark, S.T. Love
TL;DR
This paper investigates how the Wilson renormalization group equations guide a low energy N=1 supersymmetric action towards a structure characterized by N=2 supersymmetric holomorphic prepotentials, revealing deep geometric properties.
Contribution
It demonstrates that the effective low energy supersymmetric action evolves to satisfy relations derived from N=2 supersymmetric holomorphic prepotentials using Wilson RG equations.
Findings
Effective theory approaches N=2 supersymmetric structure
Kähler potential and gauge coupling linked to holomorphic prepotential
RG flow leads to fixed relations consistent with N=2 supersymmetry
Abstract
The Wilson (exact) renormalization group equations are used to determine the evolution of a general low energy N=1 supersymmetric action containing a U(1) gauge vector multiplet and a neutral chiral multiplet. The effective theory evolves towards satisfying a fixed relation where the K\"ahler potential and effective gauge coupling are obtained from a N=2 supersymmetric holomorphic prepotential.
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