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arXiv · 1009.2725

Central Charge Bounds in 4D Conformal Field Theory

Riccardo Rattazzi·Slava Rychkov·Alessandro Vichi
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Abstract

We derive model-independent lower bounds on the stress tensor central charge C_T in terms of the operator content of a 4-dimensional Conformal Field Theory. More precisely, C_T is bounded from below by a universal function of the dimensions of the lowest and second-lowest scalars present in the CFT. The method uses the crossing symmetry constraint of the 4-point function, analyzed by means of the conformal block decomposition.

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Riccardo Rattazzi, Slava Rychkov, Alessandro Vichi. 2010-09-14. Central Charge Bounds in 4D Conformal Field Theory. https://doi.org/10.1103/physrevd.83.046011

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