Central Charge Bounds in 4D Conformal Field Theory
Sep, 2010
16 pages
Published in:
- Phys.Rev.D 83 (2011) 046011
e-Print:
- 1009.2725 [hep-th]
Report number:
- LPTENS-10-35
View in:
Citations per year
Abstract: (arXiv)
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.- 11.25.Hf
- field theory: conformal
- central charge: tensor
- symmetry: crossing
- tensor: energy-momentum
- operator: dimension
- spin: 2
- renormalization group: flow
- invariance: modular
- gap
References(25)
Figures(0)