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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

classification hep-th
keywords dimensionstheoriesexplainedgeometryspecialsupergravityahlerbasic
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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 2 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. 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...

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