F theory Vacua in Four Dimensions and Toric Threefolds

TL;DR

This paper explores four-dimensional F theory models derived from type IIB string theory compactified on toric threefolds, analyzing spectra, gauge symmetries, phase transitions, and superpotentials using toric geometry.

Contribution

It provides a systematic analysis of F theory vacua in four dimensions using elementary toric methods, focusing on spectra, gauge symmetries, and phase transitions.

Findings

Characterization of massless spectra and gauge groups

Identification of phase transitions via divisor contractions and flops

Analysis of non-perturbative superpotentials

Abstract

We investigate D=4, N=1 F theory models realized by type IIB string compactification on toric threefolds. Massless spectra, gauge symmetries, phase transitions associated with divisor contractions and flops, and non-perturbative superpotentials are analyzed using elementary toric methods.