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An M-theory Flop as a Large N Duality

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arxiv hep-th/0011256 v2 pith:3RBJTTZS submitted 2000-11-28 hep-th

M. Atiyah , J. Maldacena , C. Vafa This is my paper
classification hep-th
keywords m-theorydualityfloplargestringstypeconsiderationscontext
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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.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Towards the Non-Perturbative Completion of 4d N=1 Effective Theories of Gravity

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  2. Bordisms between 9d type IIB supergravities and commutator widths of duality groups

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    Proposes a refinement of the Swampland Cobordism Conjecture for Ω1(BG) with duality bundle G, where diverging commutator width of G requires infinitely many duality defects to realize monodromies via gravitational solitons.

  3. Supersymmetric AdS Solitons, Coulomb Branch Flows and Twisted Compactifications

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    Constructs holographic supergravity solutions for supersymmetric RG flows from 4D SCFTs to confining 3D SQFTs, with universal factorization of observables.

  4. Universal Observables, SUSY RG-Flows and Holography

    hep-th 2025-06 conditional novelty 6.0 of 10

    New Type IIB, 11d, and Type IIA supergravity flows dual to twisted-compactified 4d SCFTs yield a universal factorization of Wilson loops, flow central charges, and complexity.

  5. Morse-Bott inequalities, Topology Change and Cobordisms to Nothing

    hep-th 2024-10 unverdicted novelty 6.0 of 10

    Morse-Bott inequalities yield homology bounds and topology-change counts for generic cobordisms to nothing in string theory compactifications.

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