A double-scaling semiclassical limit in the Abelian Higgs model computes the cusp anomalous dimension to NNLO in the gauge coupling while resumming scalar self-interactions to all orders, bridging perturbative and large-charge regimes.
A universal result on central charges in the presence of double-trace deformations
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abstract
We study large N conformal field theories perturbed by relevant double-trace deformations. Using the auxiliary field trick, or Hubbard-Stratonovich transformation, we show that in the infrared the theory flows to another CFT. The generating functionals of planar correlators in the ultraviolet and infrared CFT's are shown to be related by a Legendre transform. Our main result is a universal expression for the difference of the scale anomalies between the ultraviolet and infrared fixed points, which is of order 1 in the large N expansion. Our computations are entirely field theoretic, and the results are shown to agree with predictions from AdS/CFT. We also remark that a certain two-point function can be computed for all energy scales on both sides of the duality, with full agreement between the two and no scheme dependence.
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Field theory models with Robin boundary conditions and modular invariance reproduce zero-winding holographic superconductor results in 2D CFTs and interpret fractional vortices via a Little-Parks toy model.
Lecture notes introducing the 1/N expansion and melonic limit of tensor models, which yield new conformal field theories.
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Semiclassics at the cusp
A double-scaling semiclassical limit in the Abelian Higgs model computes the cusp anomalous dimension to NNLO in the gauge coupling while resumming scalar self-interactions to all orders, bridging perturbative and large-charge regimes.
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Field Theory Models for a Holographic Superconductor in Two Dimensions
Field theory models with Robin boundary conditions and modular invariance reproduce zero-winding holographic superconductor results in 2D CFTs and interpret fractional vortices via a Little-Parks toy model.
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Notes on Tensor Models and Tensor Field Theories
Lecture notes introducing the 1/N expansion and melonic limit of tensor models, which yield new conformal field theories.