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

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

2000-12-07

arxiv.org/abs/hep-th/0012053v3

Prog.Theor.Phys. 105 (2001) 673-690

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 26 pages. errors in some sentences and typo corrected

Scientific paper

10.1143/PTP.105.673

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 and propose a model of 6DQG. A hypothesized form of the 6DQG effective action is given.

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