$\mathcal{N}=2$ Supersymmetry Partial Breaking and Tadpole Anomaly

TL;DR

This paper explores the connection between partial supersymmetry breaking in an extended $ ext{U}(1)^n$ model and D3 brane tadpole anomalies in type IIB string theory with fluxes, providing insights into flux-induced supersymmetry breaking.

Contribution

It establishes an explicit relationship between $ ext{N}=2$ supersymmetry partial breaking and D3 brane tadpole anomalies in flux compactifications, extending previous models.

Findings

Identifies conditions linking supersymmetry breaking to tadpole anomalies.

Analyzes the role of fluxes and localized sources in supersymmetry breaking.

Provides a framework for understanding flux-induced supersymmetry breaking in string theory.

Abstract

We consider the $U(1) ^{n}$ extension of the effective $\mathcal{N}=2$ supersymmetric $U(1) \times U(1) $ model of $arXiv:1204.2141$; and study the explicit relationship between partial breaking of $\mathcal{N}=2$ supersymmetry constraint and D3 brane tadpole anomaly of type IIB string on Calabi-Yau threefolds in presence of H$^{RR}$ and H$^{NS}$ fluxes. We also comment on supersymmetry breaking in the particular $\mathcal{N}=2$ $U(1) $ Maxwell theory; and study its interpretation in connection with the tadpole anomaly with extra localized flux sources.