On correlation functions in JTˉJ\bar T-deformed CFTs

Feb 4, 2019
36 pages
Published in:
  • J.Phys.A 52 (2019) 18, 184003
  • Published: Apr 4, 2019
e-Print:

Citations per year

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Abstract: (IOP)
The deformation, built from the components of the stress tensor and of a current, is a universal irrelevant deformation of two-dimensional CFTs that preserves the left-moving conformal symmetry, while breaking locality on the right-moving side. Operators in the -deformed CFT are naturally labeled by the left-moving position and right-moving momentum and transform in representations of the one-dimensional extended conformal group. We derive an all-orders formula for the spectrum of conformal dimensions and charges of the deformed CFT, which we cross-check at leading order using conformal perturbation theory. We also compute the linear corrections to the one-dimensional OPE coefficients and comment on the extent to which the correlation functions in -deformed CFTs can be obtained from field-dependent coordinate transformations.
Note:
  • 26+7 pp
  • field theory: conformal
  • dimension: 1
  • dimension: conformal
  • symmetry: conformal
  • group: conformal
  • correction: linear
  • tensor: energy-momentum
  • dimension: 2
  • deformation
  • correlation function