F-theory duals of M-theory on $S^1/{\mathbb{Z}}_2\times T^4/{\mathbb{Z}}_N$

Abstract

In this note, we use results of Aspinwall and Morrison to discuss the F-theory duals of certain $T^4/{\mathbb{Z}}_N$ orbifold compactifications of Hořava--Witten theory. In the M-theory limit an interesting set of rules, based on anomaly cancellation, has been developed for what gauge and matter multiplets must be present on the various orbifold fixed planes. Here we show how several aspects of these rules can be understood directly from F-theory.

arXiv comment18 pages, 4 figures

References in corpus (13)

• Eleven-Dimensional Supergravity on a Manifold with Boundary
• Comments on String Dynamics in Six Dimensions
• Vector Bundles And F Theory
• Small $E_8$ Instantons and Tensionless Non-critical Strings
• On the Four-Dimensional Effective Action of Strongly Coupled Heterotic String Theory
• Orbifolds of M-theory
• U-Duality and Integral Structures
• On Heterotic Orbifolds, M Theory and Type I' Brane Engineering
• On the Duality between Perturbative Heterotic Orbifolds and M-Theory on T^4/Z_N
• Local Anomaly Cancellation, M-Theory Orbifolds and Phase-Transitions
• An M-Theory Perspective on Heterotic K3 Orbifold Compactifications
• Four-Dimensional N=1 Super Yang-Mills Theory from an M-Theory Orbifold
• Anomaly cancellation in M-theory on orbifolds