Bounds on 4 D Conformal and Superconformal Field Theories David Poland and

@inproceedings{SimmonsDuffin2011BoundsO4,
  title={Bounds on 4 D Conformal and Superconformal Field Theories David Poland and},
  author={David Simmons-Duffin},
  year={2011}
}
We derive general bounds on operator dimensions, central charges, and OPE coefficients in 4D conformal andN = 1 superconformal field theories. In any CFT containing a scalar primary φ of dimension d we show that crossing symmetry of 〈φφφφ〉 implies a completely general lower bound on the central charge c ≥ fc(d). Similarly, in CFTs containing a complex scalar charged under global symmetries, we bound a combination of symmetry current two-point function coefficients τ IJ and flavor charges. We… CONTINUE READING

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