F-theory on 6D Symmetric Toroidal Orbifolds

TL;DR

This paper explores F-theory compactifications on symmetric toroidal orbifolds with roto-translations, revealing complex geometric effects and rich six-dimensional physics including superconformal sectors and discrete gauge symmetries.

Contribution

It introduces a detailed analysis of F-theory on symmetric toroidal orbifolds with roto-translations, uncovering novel geometric phenomena and their implications for six-dimensional physics.

Findings

Discovery of twisted affine folded fibers and multiple fibers.

Identification of up to three distinct torus-fibrations with different lifts.

Matching of anomaly data with Hodge number computations.

Abstract

In this work we study F-theory on symmetric toroidal orbifolds that exhibit roto-translations, which are point group rotations accompanied by fractional lattice shifts. These geometries admit a rich class of effects, such as twisted affine folded fibers, multiple fibers, and up to three distinct torus-fibrations that yield different M/F-theory lifts. We discuss the six-dimensional physics of the F-theory lifts, which generically host superconformal subsectors and a IIB axio-dilaton fixed to strong coupling. In addition we find that these theories exhibit a rich set of p=0,1,2 discrete p-form gauge symmetries. We discuss six-dimensional gauge and supergravity anomalies and match the rank and tensor branch dimension to the Hodge numbers that were computed using heterotic world sheet techniques.