Topological lattice gravity using self-dual variables
نویسندگان
چکیده
منابع مشابه
Topological Gravity on the Lattice
In this paper we show that a particular twist of N = 4 super Yang-Mills in three dimensions with gauge group SU(2) possesses a set of classical vacua corresponding to the space of flat connections of the complexified gauge group SL(2, C). The theory also contains a set of topological observables corresponding to Wilson loops wrapping non-trivial cycles of the base manifold. This moduli space an...
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Lattice gauge theory with gauge group ZP is reconsidered in four dimensions on a simplicial complex K. One finds that the dual theory, formulated on the dual block complex K̂, contains topological modes which are in correspondence with the cohomology group H2(K̂, ZP ), in addition to the usual dynamical link variables. This is a general phenomenon in all models with single plaquette based actions...
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A positive semi-definite Euclidean action for arbitrary four-topologies can be constructed by adding appropriate Yang-Mills and topological terms to the Samuel-Jacobson-Smolin action of gravity with (anti)self-dual variables. Moreover, on-shell, the (anti)self-dual sector of the new theory corresponds precisely to all Einstein manifolds in four dimensions. The Lorentzian signature action, and i...
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We discover multi-Hamiltonian structure of the complex MongeAmpère equation (CMA) set in a real first-order two-component form. Therefore, by Magri’s theorem this is a completely integrable system in four real dimensions. We start with Lagrangian and Hamiltonian densities in real variables, a symplectic form and the Hamiltonian operator, that determines the Poisson bracket. We have calculated a...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 1996
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/13/10/003