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An M-theory flop as a large \(N\) duality. (English) Zbl 1061.81056
Summary: We show how a recently proposed large \(N\) duality in the context of type IIA strings with \(\mathcal N = 1\) 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.

MSC:
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
53C29 Issues of holonomy in differential geometry
83E30 String and superstring theories in gravitational theory
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