An M-theory Flop as a Large N Duality

TL;DR

This paper derives a large N duality in type IIA string theory with N=1 supersymmetry from geometric considerations in M-theory, focusing on M-theory on G2 manifolds and an S^3 flop.

Contribution

It provides a geometric derivation of a large N duality in type IIA strings using M-theory embeddings and phase structure analysis.

Findings

Derived the duality from M-theory geometric considerations

Connected G2 holonomy manifolds with string dualities

Clarified the role of S^3 flop in the duality

Abstract

We show how a recently proposed large $N$ duality in the context of type IIA strings with ${\cal N}=1$ supersymmetry in 4 dimensions can be derived from purely geometric considerations by embedding type IIA strings in M-theory. The phase structure of M-theory on $G_2$ holonomy manifolds and an $S^3$ flop are the key ingredients in this derivation.