A note on conformal symmetry in projective superspace

2008/11/13 by Radu A. Ionaş, Radu A. Ionas, Ionas, Radu A. +2 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.0811.2048

21 pages, added references

openalex publication_date 2008/11/13 · arxiv created 2008/12/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe a sufficient condition for actions constructed in projective superspace to possess an SU(2) R-symmetry. We check directly that this condition implies that the corresponding hyperkahler varieties, constructed by means of the generalized Legendre transform, have a Swann bundle structure.

Cited by

• Elliptic constructions of hyperkaehler metrics II: The quantum mechanics of a Swann bundle
• Quaternionic Kahler spaces with large toric symmetry
• New extended superconformal sigma models and quaternion Kähler manifolds

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