Universal dispersion-based formulae for thermal two-point functions of scalars that satisfy bootstrap axioms except clustering at infinite distance.
Exact Correlators on the Wilson Loop in $\mathcal{N}=4$ SYM: Localization, Defect CFT, and Integrability
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abstract
We compute a set of correlation functions of operator insertions on the 1/8 BPS Wilson loop in $\mathcal{N}=4$ SYM by employing supersymmetric localization, OPE and the Gram-Schmidt orthogonalization. These correlators exhibit a simple determinant structure, are position-independent and form a topological subsector, but depend nontrivially on the 't Hooft coupling and the rank of the gauge group. When applied to the 1/2 BPS circular (or straight) Wilson loop, our results provide an infinite family of exact defect CFT data, including the structure constants of protected defect primaries of arbitrary length inserted on the loop. At strong coupling, we show precise agreement with a direct calculation using perturbation theory around the AdS$_2$ string worldsheet. We also explain the connection of our results to the "generalized Bremsstrahlung functions" previously computed from integrability techniques, reproducing the known results in the planar limit as well as obtaining some of their finite N generalizations. Furthermore, we show that the correlators at large N can be recast as simple integrals of products of polynomials (known as Q-functions) that appear in the Quantum Spectral Curve approach. This suggests an interesting interplay between localization, defect CFT and integrability.
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Retarded correlators of displacement operators on line defects in holographic thermal CFTs exhibit bouncing singularities that match between interior-sensitive WKB and boundary-only OPE analyses.
Derives universal first-order ODEs governing the RG flow of boundary operator data (scaling dimensions, OPE and BOE coefficients) for 2D QFTs on hyperbolic space.
Two-loop effective string theory observables for Yang-Mills flux tubes in large-radius AdS are computed via transcendentality ansatz bootstrap, with Padé resummation used to probe interpolation toward small-radius weak-coupling AdS.
citing papers explorer
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The analytic bootstrap at finite temperature
Universal dispersion-based formulae for thermal two-point functions of scalars that satisfy bootstrap axioms except clustering at infinite distance.
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Bouncing singularities and thermal correlators on line defects
Retarded correlators of displacement operators on line defects in holographic thermal CFTs exhibit bouncing singularities that match between interior-sensitive WKB and boundary-only OPE analyses.
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QFT as a set of ODEs
Derives universal first-order ODEs governing the RG flow of boundary operator data (scaling dimensions, OPE and BOE coefficients) for 2D QFTs on hyperbolic space.
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Yang-Mills Flux Tube in AdS II: Effective String Theory
Two-loop effective string theory observables for Yang-Mills flux tubes in large-radius AdS are computed via transcendentality ansatz bootstrap, with Padé resummation used to probe interpolation toward small-radius weak-coupling AdS.