Thursday, September 4, 2014

quantum field theory - Extending General Relativity with Kahler Manifolds?


Standard general relativity is based on Riemannian manifolds.


However, the simplest extension of Riemannian manifolds seems to be Kahler manifolds, which have a complex (hermitian) structure, a symplectic structure, a riemannian structure, all these structures being compatible. So my question is :


What is the "simplest" theory, extending general relativity, based on Kahler manifolds ?




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