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Gravitational Solitons and Completeness

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arxiv 2108.02228 v1 pith:T7HKEPQV submitted 2021-08-04 hep-th

Jacob McNamara This is my paper · ORCID
classification hep-th
keywords chargesgravitationalsolitonscompletenessgroup-likesymmetryaccountadjoint
verification ladder T0 review T1 audit T2 compute T3 formal
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We show that gravitational solitons naturally carry gauge charges beyond those of any local quantum field. The effect of these charged excitations is to break a non-invertible symmetry to its maximal group-like sub-symmetry. Taking these charges into account, we show that the Completeness Hypothesis follows from the breaking of the remaining group-like symmetry. We generalize this picture to an arbitrary semisimple tensor category of particle charges, showing that the charges of gravitational solitons form the adjoint subcategory. We discuss a further generalization involving the charges of extended objects.

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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. 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.

  2. Non-invertible symmetries in the axiverse, and the imaginary wormholes

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Imaginary wormholes and the IDB imply that towers of BPS EFT instantons generate infinitely many superpotential terms that break non-invertible axion shift symmetries in N=1 axiverse models.

  3. Gravitational Background of Alice-Vortices and R7-Branes

    hep-th 2026-02 conditional novelty 6.0 of 10

    A family of asymptotic Alice-vortex/R7-brane backgrounds in axio-dilaton gravity is constructed, with the vortex tension encoded in a conical deficit and a generic intrinsic dipole moment.

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