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2010

Bounds in 4D Conformal Field Theories with Global Symmetry

Rattazzi, Riccardo, Rychkov, Slava, Vichi, Alessandro

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We explore the constraining power of OPE associativity in 4D Conformal Field Theory with a continuous global symmetry group.

We give a general analysis of crossing symmetry constraints in the 4-point function <Phi Phi Phi* Phi*>, where Phi is a primary scalar operator in a given representation R.
These constraints take the form of 'vectorial sum rules' for conformal blocks of operators whose representations appear in R x R and R x Rbar.
The coefficients in these sum rules are related to the Fierz transformation matrices for the R x R x Rbar x Rbar invariant tensors.

Bounds in 4D Conformal Field Theories with Global Symmetry · Around

Built on

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H. Osborn and A. C. Petkou, “Implications of Conformal Invariance in Field Theories for General Dimensions,” Annals Phys. 231
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