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Isak Buhl-Mortensen1, Marius de Leeuw1, Asger C Ipsen1

  • 1Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, 2100 Copenhagen Ø, Denmark.

Physical Review Letters
|December 17, 2016
PubMed
Summary
This summary is machine-generated.

We calculated loop corrections for 4D defect conformal field theories (dCFTs) using a holographic dual. The results match string theory computations, validating the approach for correlation functions.

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Area of Science:

  • High-energy physics
  • Quantum field theory
  • String theory

Background:

  • Investigating loop corrections to correlation functions in 4D defect conformal field theories (dCFTs).
  • Focus on N=4 SYM theory with a codimension-one defect and differing SU(N) and SU(N-k) gauge groups.
  • Holographic dual involves a D3-D5 probe brane system with AdS4×S2 geometry.

Purpose of the Study:

  • To initiate the calculation of loop corrections to correlation functions in 4D dCFTs.
  • To analyze the holographic dual of the D3-D5 probe brane system.
  • To compare results with existing string theory computations.

Main Methods:

  • Utilizing fuzzy-sphere coordinates to diagonalize the dCFT mass matrix.
  • Reformulating x3-dependent mass terms as standard massive AdS4 propagators.
  • Calculating one-loop corrections to one-point functions in the planar limit.

Main Results:

  • Identified only two Feynman diagrams contributing to one-loop corrections for single-trace operators.
  • Explicitly calculated the one-loop correction for the simplest chiral primary.
  • Achieved perfect agreement with an earlier string-theory computation in a specific double scaling limit.

Conclusions:

  • The study successfully initiated loop correction calculations in 4D dCFTs.
  • The holographic approach provides a valid framework for these calculations.
  • The methodology is discussed for generalization to various operators, finite N, and other observables like Wilson loops.