The spotting of the factor [tex]{D-2 \over 24}[/tex] outside of the scope of string theory should be the trigger for a new revolution in this field. It could mean that a critical dimension is not exclusive of strings, or it could show how to avoid criticality after all.(adsbygoogle = window.adsbygoogle || []).push({});

The term itself is not rare, the denominator is a usual combinatorial factor, and D-2 can happen when we use the Riemann tensor in a general space.

In fact, it seems that the term can be made explicit by recasting Connes' fundamental theorem for commutative spectral triples, as it is done by Martinetti in th 2.11 of math-ph/0306046. By postulating this term to be equal to 1, we could get a critical dimension for spectral triples. Which is amazing, because spectral triples do not use strings inside its formulation.

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# The 4th superstring revolution.

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