Warped Compactifications in M and F Theory

TL;DR

This paper investigates warped compactifications of M and F theory on Calabi-Yau four-folds with flux, explicitly solving for the warp factor and analyzing implications for the low-energy effective theory.

Contribution

It provides explicit solutions for warp factors in orbifold limits and examines their effects on the low-energy spectrum, advancing understanding of flux compactifications.

Findings

Explicit warp factor solutions for K3  K3

Analysis of backreaction effects on the low-energy spectrum

Comparison with other warped compactification scenarios

Abstract

We study M and F theory compactifications on Calabi-Yau four-folds in the presence of non-trivial background flux. The geometry is warped and belongs to the class of p-brane metrics. We solve for the explicit warp factor in the orbifold limit of these compactifications, compare our results to some of the more familiar recently studied warped scenarios, and discuss the effects on the low-energy theory. As the warp factor is generated solely by backreaction, we may use topological arguments to determine the massless spectrum. We perform the computation for the case where the four-fold equals K3 \times K3.