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Anomaly Cancellation in Six Dimensions

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arxiv hep-th/9304104 v1 pith:KN4MWJ7P submitted 1993-04-22 hep-th hep-ph

classification hep-thhep-ph
keywords dimensionsanomalycancellationmodelspossibleabelianadditionalapplications
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

I show that anomaly cancellation conditions are sufficient to determine the two most important topological numbers relevant for Calabi-Yau compactification to six dimensions. This reflects the fact that K3 is the only non-trivial CY manifold in two complex dimensions. I explicitly construct the Green-Schwarz counterterms and derive sum rules for charges of additional enhanced U(1) factors and compare the results with all possible Abelian orbifold constructions of K3. This includes asymmetric orbifolds as well, showing that it is possible to regain a geometrical interpretation for this class of models. Finally, I discuss some models with a broken $E_7$ gauge group which will be useful for more phenomenological applications.

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Cited by 4 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. Intersection Bounds for BPS Strings in Six-Dimensional Supergravity

    hep-th 2026-07 conditional novelty 6.0 of 10

    Using a lattice Zariski decomposition of the gravitational charge and E8 current-algebra embeddings, the paper bounds previously uncontrolled BPS-string intersections: C_-3·e ≤ 3, C_-2·e ≤ 7, and isolated gauged C_-2·...

  3. F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups

    hep-th 2019-08 conditional novelty 4.0 of 10

    On bisection loci in a four-section geometry, the F-theory gauge group enlarges from Z2 to U(1) times Z2, and Higgsing can break it down to a discrete Z4 gauge group.

  4. Anomaly cancellation and one-loop finiteness of 6D half-maximal supergravities

    hep-th 2025-12 unverdicted novelty 3.0 of 10

    Anomaly-free SO(5,21) and SO(4,20) G-duality symmetries are proposed to explain the one-loop finiteness of 6D half-maximal supergravities, by analogy with E_{7(7)} in 4D.

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