An M-theory Flop as a Large N Duality

M. Atiyah; J. Maldacena; C. Vafa

doi:10.1063/1.1376159

paper

An M-theory Flop as a Large N Duality

arXiv:hep-th/0011256 · doi:10.1063/1.1376159

Abstract

We show how a recently proposed large $N$ duality in the context of type IIA strings with $N = 1$ 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.

17 pages, references added and corrected