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The M-theory 3-form and E8 gauge theory

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arxiv hep-th/0312069 v2 pith:X7R4QRKS submitted 2003-12-05 hep-th

Emanuel Diaconescu , Daniel S. Freed , Gregory Moore This is my paper · ORCID
classification hep-th
keywords formm-theorychern-simonschargeclarifyformalismgaugegive
verification ladder T0 review T1 audit T2 compute T3 formal

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We give a precise formulation of the M-theory 3-form potential C in a fashion applicable to topologically nontrivial situations. In our model the 3-form is related to the Chern-Simons form of an E8 gauge field. This leads to a precise version of the Chern-Simons interaction of 11-dimensional supergravity on manifolds with and without boundary. As an application of the formalism we give a formula for the electric C-field charge, as an integral cohomology class, induced by self-interactions of the 3-form and by gravity. As further applications, we identify the M-theory Chern-Simons term as a cubic refinement of a trilinear form, we clarify the physical nature of Witten's global anomaly for 5-brane partition functions, we clarify the relation of M-theory flux quantization to K-theoretic quantization of RR charge, and we indicate how the formalism can be applied to heterotic M-theory.

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Cited by 6 Pith papers

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

  1. Consistency of M-Theory on nonorientable manifolds

    hep-th 2019-08 conditional novelty 8.0 of 10

    The total anomaly from the Rarita-Schwinger field and the C-field cancels on 12-dimensional mc-manifolds, so M-theory is anomaly-free on pin+ manifolds.

  2. Flipped $SU(5)$ GUT with conformal gravity from a single supermultiplet

    hep-th 2024-12 reject novelty 7.0 of 10

    A new superalgebra from the Grassmann envelope of E8(-24) is proposed as the origin of flipped SU(5) GUT plus conformal gravity, with three fermion generations and no superpartners.

  3. SymTFTs and Non-Invertible Symmetries of 6d (2,0) SCFTs of Type $D$ from M-theory

    hep-th 2024-12 conditional novelty 7.0 of 10

    The 7d SymTFT for 6d (2,0) D_N SCFTs is derived from M-theory on AdS7 × RP4, including the outer-automorphism Z2 sector, and is used to derive non-invertible symmetries and anomaly polynomials.

  4. Symmetry TFTs from String Theory

    hep-th 2021-12 unverdicted novelty 7.0 of 10

    Constructs Symmetry TFTs for M-theory compactifications by reducing the topological sector of 11d supergravity on the boundary of X using differential cohomology, with applications to 7d SYM and 5d SCFTs confirmed via...

  5. Continuous symmetries and charge measurement of boundary operators in holography

    hep-th 2026-02 conditional novelty 6.0 of 10

    Continuous symmetry operators in holography are U-shaped hanging brane bound states (D5-KK in Type IIB, M5-KK in M-theory) whose worldvolume couplings reproduce the Gauss-law symmetry operators and measure charges of ...

  6. Anomaly-induced vanishing of brane partition functions

    hep-th 2025-10 conditional novelty 6.0 of 10

    Anomalies imply vanishing brane partition functions; this yields unified derivations of the Freed-Witten and M5 shifted-quantization conditions and new S-fold D3-brane constraints.

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