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Integrability and Scheme Independence of Even-Dimensional Quantum Geometry Effective Action

Integrability and Scheme Independence of Even-Dimensional Quantum Geometry Effective Action

We investigate how the integrability conditions for conformal anomalies constrain the form of the effective action in even-dimensional quantum geometry. We show that the effective action of four-dimensional quantum geometry (4DQG) satisfying integrability has a manifestly diffeomorphism invariant and regularization scheme-independent form. We then generalize the arguments to six dimensions …