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${\cal N}=2$ Supergravity in $D=4,5,6$ Dimensions

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arxiv 2004.11433 v1 pith:7PRG7IIO submitted 2020-04-23 hep-th

Edoardo Lauria , Antoine Van Proeyen This is my paper · ORCID
classification hep-th
keywords dimensionstheoriesexplainedgeometryspecialsupergravityahlerbasic
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

An overview of matter-coupled ${\cal N}=2$ supergravity theories with 8 real supercharges, in 4,5 and 6 dimensions is given. The construction of the theories by superconformal methods is explained from basic principles. Special geometry is obtained and characterized. The relation between the theories in those dimensions is discussed. This leads to the concepts of very special geometry and quaternionic-K\"ahler manifolds, whose structures are explained.

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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. Six-dimensional $\mathcal{N}=(2,0)$ Conformal Superspace

    hep-th 2025-06 conditional novelty 8.0 of 10

    A new off-shell 6D N=(2,0) conformal superspace is constructed, and its unique Bach tensor superfield is derived up to overall scaling.

  2. Equivariant localization for $D=4$ gauged supergravity

    hep-th 2024-12 conditional novelty 8.0 of 10

    Supersymmetric Euclidean D=4 N=2 gauged supergravity actions and fluxes localize onto R-symmetry fixed points, proving large-N SCFT free-energy formulas and UV-IR relations.

  3. Asymptotics of 5d Supergravity Theories and the Emergent String Conjecture

    hep-th 2024-12 conditional novelty 7.0 of 10

    All infinite distance limits in 5d N=1 supergravity vector moduli space are either unique-vector limits (6d decompactification) or unique-tensor limits (emergent string), under a weak BPS completeness assumption.

  4. 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...

  5. ${\mathcal N}=3$ nonlinear multiplet and supergravity

    hep-th 2025-01 conditional novelty 6.0 of 10

    A new N=3 Einstein superspace is built from a proposed nonlinear multiplet, and the resulting equations of motion reduce to chi=0, implying the N=3 super-Bach tensor vanishes.

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