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A bound on 6D N=1 supergravities

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arxiv 0910.1586 v3 pith:QGKQ42WV submitted 2009-10-08 hep-th

Vijay Kumar , Washington Taylor This is my paper · ORCID
classification hep-th
keywords onlyshouldsupergravitiesanomaliesanomalyapplyboundcancellation
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We prove that there are only finitely many distinct semi-simple gauge groups and matter representations possible in consistent 6D chiral (1,0) supergravity theories with one tensor multiplet. The proof relies only on features of the low-energy theory; the consistency conditions we impose are that anomalies should be cancelled by the Green-Schwarz mechanism, and that the kinetic terms for all fields should be positive in some region of moduli space. This result does not apply to the case of the non-chiral (1,1) supergravities, which are not constrained by anomaly cancellation.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. 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. Tame Complexity of Effective Field Theories in the Quantum Gravity Landscape

    hep-th 2026-01 conditional novelty 7.0 of 10

    Effective field theories consistent with quantum gravity are conjectured to have uniformly bounded 'tame complexity', a quantitative measure of the information needed to specify them.

  3. Finiteness and the Emergence of Dualities

    hep-th 2024-12 conditional novelty 6.0 of 10

    Finiteness of quantum gravity amplitudes implies moduli spaces have at most Euclidean volume growth, which in turn implies duality groups act semisimply on charge lattices.

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