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On The Finiteness of 6d Supergravity Landscape

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arxiv 2106.10839 v1 pith:GIZFNJZQ submitted 2021-06-21 hep-th

Houri-Christina Tarazi , Cumrun Vafa This is my paper
classification hep-th
keywords masslessmodesnumbersupergravitytheoriesanomalyarguebound
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider supergravity theories with 8 supercharges in $d=6$. We show that all the proposed anomaly free theories with unbounded number of massless modes are restricted to a finite subset and thus argue that there is an upper bound on the number of massless modes, consistent with the String Lamppost Principle.

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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. 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. A finite 6d supergravity landscape from anomalies

    hep-th 2025-07 conditional novelty 7.0 of 10

    Local and Dai-Freed global anomaly cancellation implies T ≤ 3003 and a finite 6d non-abelian supergravity landscape, with the extremal model [E8 x F4 x (G2 x SU(2))^2]^273.

  4. Cobordism Utopia: U-Dualities, Bordisms, and the Swampland

    hep-th 2025-05 conditional novelty 7.0 of 10

    For 8d maximal supergravity, the spin bordism groups Omega_k^Spin(B(SL(2,Z) x SL(3,Z))) for k=1..7 are computed and each generator is realized by a string/M/F-theory background, some of which are non-geometric.

  5. Moduli-Space Laplacians, Asymptotic Geometry, and the Emergent String Conjecture

    hep-th 2026-07 conditional novelty 6.0 of 10

    Under the Emergent String Conjecture, the logarithm of any principal tower mass has a moduli-space Laplacian eigenvalue quantized to N/(D-d) for KK towers and N/2 for string oscillators, equal to the instanton-weighte...

  6. 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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