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A systematic search for anomaly-free supergravities in six dimensions

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arxiv hep-th/0508172 v2 pith:LE4GFJTN submitted 2005-08-23 hep-th

Spyros D. Avramis , Alex Kehagias This is my paper · ORCID
classification hep-th
keywords anomaly-freesearchsupergravitiessystematicallowedanomalycancellationcertain
verification ladder T0 review T1 audit T2 compute T3 formal
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We conduct a systematic search for anomaly-free six-dimensional N=1 chiral supergravity theories. Under a certain set of restrictions on the allowed gauge groups and the representations of the hypermultiplets, we enumerate all possible Poincare and gauged supergravities with one tensor multiplet satisfying the 6D anomaly cancellation criteria.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 40 citations worldwide. Full citation record

  1. 6d Supergravity Blocks

    hep-th 2026-07 accept novelty 7.0 of 10

    Any consistent 6d (1,0) supergravity is assembled by gluing supergravity blocks (one H-string LST plus positively intersecting external tensors whose Gram matrix has one positive eigenvalue) and enhancing gauges; non-...

  2. Anomaly-Free Spectra, Unimodular Lattices and 6D R-Symmetry Gauged Supergravity

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    Eleven new anomaly-free 6D supergravity spectra with G_non-Abelian × U(1)_R are exhibited that satisfy Green-Schwarz factorization and global consistency conditions, together with lattice-embeddability theorems for th...

  3. Global anomalies in $6D$ gauged supergravities

    hep-th 2025-07 conditional novelty 7.0 of 10

    New anomaly-free six-dimensional R-symmetry gauged supergravities are presented, and global anomaly freedom is shown to impose the constraints n_V ≡ 8 mod 12 (U(1)_R) and n_V = 60 (Sp(1)_R).

  4. Diagonally gauged anomaly-free 6D supergravities and their vacua

    hep-th 2026-07 conditional novelty 6.0 of 10

    Bounded scans yield 706 single-factor and 1559 two-factor anomaly-free 6D (1,0) models gauged by a diagonal U(1)_R+, and explicit supersymmetric Minkowski vacua for a subset.

  5. Machine Learning the 6d Supergravity Landscape

    hep-th 2025-05 conditional novelty 6.0 of 10

    An autoencoder and two neural classifiers, trained only on anomaly Gram matrices, provide automated clustering, outlier detection, and consistency predictions for millions of 6d supergravity building blocks.

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