Central Charge Bounds in 4D Conformal Field Theory
High Energy Physics - Theory
2011-03-23 v1 High Energy Physics - Phenomenology
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.
Cite
@article{arxiv.1009.2725,
title = {Central Charge Bounds in 4D Conformal Field Theory},
author = {Riccardo Rattazzi and Slava Rychkov and Alessandro Vichi},
journal= {arXiv preprint arXiv:1009.2725},
year = {2011}
}
Comments
16 pages, 6 figures