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String Universality and Non-Simply-Connected Gauge Groups in 8d

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arxiv 2008.10605 v3 pith:CQU5A3IR submitted 2020-08-24 hep-th

Mirjam Cvetic , Markus Dierigl , Ling Lin , Hao Y. Zhang This is my paper
classification hep-th
keywords gaugestringtheoriesconditiongroupgroupsotheranomaly
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a consistency condition for 8d ${\cal N} = 1$ supergravity theories with non-trivial global structure $G/Z$ for the non-Abelian gauge group, based on an anomaly involving the $Z$ 1-form center symmetry. The interplay with other Swampland criteria identifies the majority of 8d theories with gauge group $G/Z$, which have no string theory realization, as inconsistent quantum theories when coupled to gravity. While this condition is equivalent to geometric properties of elliptic K3 surfaces in F-theory compactifications, it constrains the unexplored landscape of gauge groups in other 8d string models.

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Cited by 5 Pith papers

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

  1. 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.

  2. 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.

  3. 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...

  4. Non-supersymmetric dualities beyond the gauge algebra

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Verification of Blum-Dienes and Bergman-Gaberdiel dualities shows agreement in gauge group global forms from orientifold brane states and internal lattices, with one subtle projection exception.

  5. More on 8d non-supersymmetric branes and heterotic strings

    hep-th 2025-05 conditional novelty 6.0 of 10

    The E8 non-supersymmetric heterotic string on T^2 has exactly 22 maximal gauge enhancements, found by two independent methods, with massless spectra listed for each.

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