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Aspects of superconformal symmetry

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arxiv 2403.02700 v2 pith:QN2SMSKK submitted 2024-03-05 hep-th gr-qcmath-phmath.MP

Emmanouil S. N. Raptakis This is my paper · ORCID
classification hep-thgr-qcmath-phmath.MP
keywords conformalaspectssuperconformalsymmetrytheoryclassicalemployingfield
verification ladder T0 review T1 audit T2 compute T3 formal
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In this thesis we study classical aspects of superconformal field theory via symmetry principles. Specifically, by employing the powerful setup of conformal superspace, we obtain a plethora of new results in the fields of geometric and higher symmetries, (super)conformal higher-spin theory and conformal supergravity. These findings open up numerous novel research pathways.

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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. ${\mathcal N}=3$ 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.

  2. The anti-de Sitter supergeometry revisited

    hep-th 2024-12 conditional novelty 6.0 of 10

    AdS^{4|4N} is shown to be conformally flat for all N via two explicit supervielbeins, and the U(N) versus O(N) structure group relation is established.

  3. Nonlinear self-duality for arbitrary spin, superspin, and supersymmetry type

    hep-th 2026-02 conditional novelty 4.0 of 10

    Every U(1) duality-invariant (super)conformal gauge theory of arbitrary (super)spin obeys a universal self-duality equation, is Legendre self-dual, and (for spin > 1) lives only on conformally flat backgrounds.

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