A Kähler Compatible Moyal Deformation of the First Heavenly Equation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Maceda, M., Martínez-Carbajal, D.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210222
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Kähler Compatible Moyal Deformation of the First Heavenly Equation / M. Maceda, D. Martínez-Carbajal // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 43 назв. — англ.

We construct a noncommutative Kähler manifold based on a non-linear perturbation of Moyal integrable deformations of D=4 self-dual gravity. The deformed Kähler manifold preserves all the properties of the commutative one, and we obtain the associated noncommutative Kähler potential using the Moyal d...