2018/02/28 by Simone Giombi, Shota Komatsu · 35 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Connection (principal bundle) #Gauge theory #Operator (biology) #Perturbation theory (quantum mechanics) #Planar #Quantum Chromodynamics and Particle Interactions #Simple (philosophy) #String (physics) #String theory #Wilson loop #hep-th
paper · pdf · doi:10.1007/jhep05(2018)109
published in Journal of High Energy Physics 2018(5) (Springer Nature) · 43+4 pages; v2 References added. Minor corrections. Explanation in section 4.2 expanded; v3 Corrected statements about nonplanar corrections
openalex created_date 2018/02/23 · openalex publication_date 2018/05/01 · arxiv created 2018/11/08 · arxiv updated 2018/11/09 · openalex updated_date 2026/08/06
A bstract We compute a set of correlation functions of operator insertions on the 1 / 8 BPS Wilson loop in N=4 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>4</mml:mn> </mml:math> 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 their finite N generalization. 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.