Carving out the space of 4D CFTs

Alessandro Vichi
2012
Article

Résumé

We introduce a new numerical algorithm based on semidefinite programming to efficiently compute bounds on operator dimensions, central charges, and OPT coefficients in 4D conformal and N = 1 superconformal field theories. Using our algorithm, we dramatically improve previous bounds on a number of quantities, particularly for theories with global symmetries. In the case of SO(4) or SU(2) symmetry, our bounds severely constrain models of conformal technicolor. In N = 1 superconformal theories, we place strong bounds on dim(Phi(dagger)Phi), where Phi is a chiral operator. These bounds asymptote to the line dim(Phi(dagger)Phi)

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https://infoscience.epfl.ch/record/180308?ln=fr

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