Resummation at finite conformal spin

  • Carlos Cardona
  • Sunny Guha
  • Surya Kiran Kanumilli
  • Kallol SenEmail author
Open Access
Regular Article - Theoretical Physics


We generalize the computation of anomalous dimension and correction to OPE coefficients at finite conformal spin considered recently in [1, 2] to arbitrary space-time dimensions. By using the inversion formula of Caron-Huot and the integral (Mellin) representation of conformal blocks, we show that the contribution from individual exchanges to anomalous dimensions and corrections to the OPE coefficients for “double-twist” operators \( {\left[{\mathcal{O}}_1{\mathcal{O}}_2\right]}_{\Delta, J} \) in s-channel can be written at finite conformal spin in terms of generalized Wilson polynomials. This approach is democratic with respect to space-time dimensions, thus generalizing the earlier findings to cases where closed form expressions of the conformal blocks are not available.


Conformal Field Theory Field Theories in Higher Dimensions 


Open Access

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  • Carlos Cardona
    • 1
  • Sunny Guha
    • 2
  • Surya Kiran Kanumilli
    • 1
  • Kallol Sen
    • 3
    Email author
  1. 1.Niels Bohr International Academy and Discovery CenterUniversity of CopenhagenCopenhagen ØDenmark
  2. 2.George P. and Cynthia Woods Mitchell Institute for Fundamental Physics and AstronomyTexas A&M UniversityCollege StationU.S.A.
  3. 3.Kavli Institute for the Physics and Mathematics of the Universe (WPI)University of TokyoKashiwaJapan

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