Search results for "Topological quantum field theory"

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Topological field theory

1991

PhysicsTopological quantum field theoryTopological algebraTopological degeneracyGeneral Physics and AstronomyTopological orderBF modelTopological entropy in physicsSymmetry protected topological orderGeneral Theoretical PhysicsTopological quantum numberMathematical physicsPhysics Reports
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The algebraic structure of cohomological field theory

1993

Abstract The algebraic foundation of cohomological field theory is presented. It is shown that these theories are based upon realizations of an algebra which contains operators for both BRST and vector supersymmetry. Through a localization of this algebra, we construct a theory of cohomological gravity in arbitrary dimensions. The observables in the theory are polynomial, but generally non-local operators, and have a natural interpretation in terms of a universal bundle for gravity. As such, their correlation functions correspond to cohomology classes on moduli spaces of Riemannian connections. In this uniformization approach, different moduli spaces are obtained by introducing curvature si…

Pure mathematicsTopological quantum field theoryDifferential formAlgebraic structureGeneral Physics and AstronomyCodimensionModuli spaceAlgebraOperator algebraQuantum gravityGeometry and TopologyOperator product expansionMathematical PhysicsGeneral Theoretical PhysicsMathematics
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