Central Charge Bounds in 4D Conformal Field Theory

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....

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Detalles Bibliográficos
Autores principales: Rattazzi, Riccardo, Rychkov, Slava, Vichi, Alessandro
Formato: info:eu-repo/semantics/article
Lenguaje:eng
Publicado: 2010
Materias:
Particle Physics - Theory
Acceso en línea:http://cds.cern.ch/record/1291833
Descripción
Sumario: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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