A Phenomenological Model of Flux-Modulated Gauge Coupling in Warped IIB Compactifications

Abstract

Inspired by string theory and high-dimensional unified field theory, this work establishes a rigorously computable correspondence between high-dimensional topological structures and low-energy observables by proposing a phenomenological relation linking gauge coupling constants to topological flux. Based on 10-dimensional type IIB string theory, we construct a 4-dimensional effective unified field model via warped flux compactification on $T^{6}/\mathbb{Z}_{3}$. The model employs the standard 10D Green-Schwarz anomaly cancellation mechanism for quantum consistency, achieves moduli stabilization via the KKLT paradigm combining the GVW flux superpotential and D7-brane gaugino condensation, and explores solutions to the gauge hierarchy problem using warped geometry. All core physical insights and theoretical framework are original contributions of the author, with AI assistants providing technical support for mathematical derivation, dimensional verification, and TeXstudio typesetting.

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