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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

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 6 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

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    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

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    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

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  4. Non-supersymmetric dualities beyond the gauge algebra

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    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.

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  6. Anomaly Inflow and Gauge Group Topology in the 10d Sugimoto String Theory

    hep-th 2024-12 conditional novelty 6.0 of 10

    Anomaly inflow on Sugimoto model branes supports the conclusion that the 10d gauge group is Sp(16)/Z2, and the same inflow matching rules out most alternative chiral spectra.

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