Central Charge Bounds in 4D Conformal Field Theory

Details Central Charge Bounds in 4D Conformal Field Theory Central Charge Bounds in 4D Conformal Field Theory

2010-09-14

arxiv.org/abs/1009.2725v1

Phys.Rev.D83:046011,2011

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 6 figures

Scientific paper

10.1103/PhysRevD.83.046011

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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