Six Dimensional Topological Gravity and the Cosmological Constant Problem
Abstract
We formulate a topological theory in six dimensions with gauge group SO(3,3) which reduces to gravity on a four dimensional defect if suitable boundary conditions are chosen. In such a framework we implement the reflection automorphism of SO(3,3) as a 2 symmetry which forbids the appearance of a gravitational cosmological constant. Some temptative speculations are presented also for the possible inclusion of the matter contribution at a full quantum level.
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