The F-Theorem and F-Maximization

@article{Pufu2016TheFA,
  title={The F-Theorem and F-Maximization},
  author={Silviu S. Pufu},
  journal={arXiv: High Energy Physics - Theory},
  year={2016}
}
  • S. Pufu
  • Published 9 August 2016
  • Physics
  • arXiv: High Energy Physics - Theory
This contribution contains a review of the role of the three-sphere free energy F in recent developments related to the F-theorem and F-maximization. The F-theorem states that for any Lorentz-invariant RG trajectory connecting a conformal field theory CFT_UV in the ultraviolet to a conformal field theory CFT_IR, the F-coefficient decreases: F_UV > F_IR. I provide many examples of CFTs where one can compute F, approximately or exactly, and discuss various checks of the F-theorem. F-maximization… 

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