4.4 Article

Evaluation of conformal integrals

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP02(2016)068

Keywords

Conformal and W Symmetry; Anomalies in Field and String Theories

Funding

  1. Galileo Galilei Institute in Florence
  2. Simons Center for Geometry and Physics, Stony Brook University
  3. Interuniversity Attraction Poles Programme
  4. Belgian Science Policy [P7/37]
  5. European Research Council [ERC-2013-CoG 616732]
  6. COST via the STMS grant [COST-STSM-MP1210-29014]
  7. STFC Consolidated Grant [ST/J0003533/1]
  8. STFC [ST/L00044X/1] Funding Source: UKRI
  9. Science and Technology Facilities Council [ST/L00044X/1] Funding Source: researchfish

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We present a comprehensive method for the evaluation of a vast class of integrals representing 3-point functions of conformal field theories in momentum space. The method leads to analytic, closed-form expressions for all scalar and tensorial 3-point functions of operators with integer dimensions in any spacetime dimension. In particular, this encompasses all 3-point functions of the stress tensor, conserved currents and marginal scalar operators.

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