Real formulations of complex gravity and a complex formulation of real gravity
نویسنده
چکیده
Two gauge and diffeomorphism invariant theories on the Yang-Mills phase space are studied. They are based on the Lie-algebras so(1, 3) and ̃ so(3) – the loop-algebra of so(3). Although the theories are manifestly real, they can both be reformulated to show that they describe complex gravity and an infinite number of copies of complex gravity, respectively. The connection to real gravity is given. For these theories, the reality conditions in the conventional Ashtekar formulation are represented by normal constraint-like terms. PACS number: 04.20.Fy Email address: [email protected]
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تاریخ انتشار 1994