The quaternionic geometry of four-dimensional conformal field theory

DOI10.1016/S0393-0440(97)00072-7zbMath0969.53043arXivgr-qc/9707048OpenAlexW404459433MaRDI QIDQ1299232

Roberto Zucchini

Publication date: 6 June 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9707048

zbMATH Keywords

Schwarzian derivativeconformal field theoryenergy-momentum tensorFueter analyticityFueter holomorphicitygauge currentsintegrable quaternionic structureKulkarni geometryquaternionic line bundes

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of global differential geometry to the sciences (53C80) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items (4)

ON (2+2)-DIMENSIONAL SPACE–TIMES, STRINGS AND BLACK HOLES ⋮ Four-dimensional Wess--Zumino--Witten actions ⋮ \(\mathcal W\) geometry from Fedosov's deformation quantization ⋮ Tetraplectic structures, tri-momentum maps, and quaternionic flag manifolds

Cites Work

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• On the principle of uniformization
• Implications of conformal invariance in field theories for general dimensions
• Chiral Lagrangians, anomalies, supersymmetry, and holomorphy
• Quaternionic analysis
• Quantum Fields in Curved Space
• A nonlocal action for the trace anomaly

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