Superconformal symmetry and hyper-Kähler manifolds with torsion

DOI10.1007/s00220-003-0914-5zbMath1160.81388arXivmath/0111276OpenAlexW1973740680MaRDI QIDQ1409249

Yat Sun Poon, Andrew F. Swann

Publication date: 8 October 2003

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111276

zbMATH Keywords

supersymmetric quantum mechanicsquaternionic Kähler manifoldAbelian instanton

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on curved space or space-time backgrounds (81T20) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Supersymmetry and quantum mechanics (81Q60) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (2)

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Cites Work

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• Quaternionic structures on a manifold and subordinated structures
• HyperKähler and quaternionic Kähler geometry
• The large \(N\) limit of superconformal field theories and supergravity
• Hypercomplex structures associated to quaternionic manifolds
• Twistor spaces for QKT manifolds
• HKT and OKT geometries on soliton black hole moduli spaces
• Superconformal hypermultiplets
• The geometry of (super) conformal quantum mechanics
• Geometry of hyper-Kähler connections with torsion
• Geometry of quaternionic Kähler connections with torsion
• Potential functions of HKT spaces

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