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Higher Structures in M-Theory

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arxiv 1903.02807 v2 pith:HMH2BY5W submitted 2019-03-07 hep-th

classification hep-th
keywords higherstructuresm-theorytheorystringalgebraicalgebrasalready
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abstract

The key open problem of string theory remains its non-perturbative completion to M-theory. A decisive hint to its inner workings comes from numerous appearances of higher structures in the limits of M-theory that are already understood, such as higher degree flux fields and their dualities, or the higher algebraic structures governing closed string field theory. These are all controlled by the higher homotopy theory of derived categories, generalised cohomology theories, and $L_\infty$-algebras. This is the introductory chapter to the proceedings of the LMS/EPSRC Durham Symposium on Higher Structures in M-Theory. We first review higher structures as well as their motivation in string theory and beyond. Then we list the contributions in this volume, putting them into context.

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Cited by 2 Pith papers

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

  1. Super-$\mathrm{Lie}_\infty$ T-Duality and M-Theory

    hep-th 2024-11 conditional novelty 6.0 of 10

    The M-algebra is shown to be the brane-charge completion of the fully T-doubled super-spacetime, with the Poincaré super 2-form of T-duality lifted to a Poincaré super 3-form.

  2. Higher Gauge Theory via Differential Nonabelian Cohomology

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Higher gauge fields receive a global infrared completion by electromagnetic flux quantization in differential nonabelian cohomology using cohesive homotopy theory, with applications to brane charges in K-theory and Co...

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