We derive model-independent lower bounds on the stress tensor central charge CT in terms of the operator content of a 4-dimensional conformal field theory. More precisely, CT is bounded from below by a universal function of the dimensions of the lowest and second-lowest scalars present in the conformal field theory. The method uses the crossing symmetry constraint of the 4-point function, analyzed by means of the conformal block decomposition. © 2011 American Physical Society.
Central charge bounds in 4D conformal field theory
Vichi A.
2011-01-01
Abstract
We derive model-independent lower bounds on the stress tensor central charge CT in terms of the operator content of a 4-dimensional conformal field theory. More precisely, CT is bounded from below by a universal function of the dimensions of the lowest and second-lowest scalars present in the conformal field theory. The method uses the crossing symmetry constraint of the 4-point function, analyzed by means of the conformal block decomposition. © 2011 American Physical Society.File in questo prodotto:
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