Sunday, April 22, 2007
How 3DT is Trivially Anomaly-Free
The Lagrangian for 3DT is the curvature scalar R in 6 dimensions. In my arxiv paper, I show that this curvature scalar is equal to the curvature scalar in 4 dimensions plus all possible matter terms. Therefore, in 6 dimensions, there is no matter, only pure geometry. Anomalies are quantum mechanical violations of conservation laws. Without matter there can be no conservation laws. Without conservation laws, there can be no violations of conservation laws. Therefore, 3DT is anomaly-free.
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