Radial coordinates for conformal blocks

  title={Radial coordinates for conformal blocks},
  author={Matthijs Hogervorst and Slava Rychkov},
We develop the theory of conformal blocks in CFTd expressing them as power series with Gegenbauer polynomial coefficients. Such series have a clear physical meaning when the conformal block is analyzed in radial quantization: individual terms describe contributions of descendants of a given spin. Convergence of these series can be optimized by a judicious choice of the radial quantization origin. We argue that the best choice is to insert the operators symmetrically. We analyze in detail the… CONTINUE READING
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